Astronomische Umrechnungen erweitert

This commit is contained in:
Eskimue
2026-04-11 13:52:18 +02:00
parent 0504c7d03b
commit 07c6d701c2
4 changed files with 911 additions and 94 deletions
+448 -93
View File
@@ -15,8 +15,99 @@ function h(?string $value): string
{
return htmlspecialchars((string) $value, ENT_QUOTES, 'UTF-8');
}
function runPythonApi(string $action, array $args): array
{
$scriptPath = __DIR__ . '/py/api.py';
$pythonCandidates = PHP_OS_FAMILY === 'Windows'
? ['python', 'py']
: ['/usr/bin/python3', '/usr/bin/python', 'python3', 'python'];
$escapedArguments = array_map('escapeshellarg', array_merge([$scriptPath, $action], $args));
$lastError = 'Python konnte nicht gestartet werden.';
foreach ($pythonCandidates as $pythonBinary) {
$command = $pythonBinary . ' ' . implode(' ', $escapedArguments) . ' 2>&1';
$output = [];
$resultCode = 0;
exec($command, $output, $resultCode);
$joined = trim(implode("\n", $output));
$decoded = json_decode($joined, true);
if (is_array($decoded)) {
return [
'ok' => (bool) ($decoded['ok'] ?? false),
'data' => $decoded,
'raw' => $joined,
'command' => $command,
];
}
if ($joined !== '') {
$lastError = $joined;
} elseif ($resultCode !== 0) {
$lastError = 'Fehlercode ' . $resultCode . ' bei ' . $pythonBinary;
}
}
return [
'ok' => false,
'error' => $lastError,
];
}
if ($_SERVER['REQUEST_METHOD'] === 'POST' && (string) ($_POST['ajax'] ?? '') === '1') {
header('Content-Type: application/json; charset=utf-8');
$kind = trim((string) ($_POST['kind'] ?? ''));
if ($kind === 'distance') {
$pythonResult = runPythonApi('astronomical_conversions', [
'distance',
trim((string) ($_POST['sourceUnit'] ?? '')),
trim((string) ($_POST['sourceValue'] ?? '')),
]);
} elseif ($kind === 'redshift') {
$pythonResult = runPythonApi('astronomical_conversions', [
'redshift',
trim((string) ($_POST['z'] ?? '')),
trim((string) ($_POST['restNm'] ?? '')),
]);
} elseif ($kind === 'time') {
$pythonResult = runPythonApi('astronomical_conversions', [
'time',
trim((string) ($_POST['sourceUnit'] ?? '')),
trim((string) ($_POST['sourceValue'] ?? '')),
trim((string) ($_POST['longitude'] ?? '')),
]);
} else {
echo json_encode([
'ok' => false,
'error' => 'Unbekannter Umrechnungsbereich.',
], JSON_UNESCAPED_UNICODE | JSON_UNESCAPED_SLASHES);
exit;
}
if (!$pythonResult['ok']) {
echo json_encode([
'ok' => false,
'error' => (string) ($pythonResult['error'] ?? 'Python-Fehler'),
], JSON_UNESCAPED_UNICODE | JSON_UNESCAPED_SLASHES);
exit;
}
echo json_encode($pythonResult['data'], JSON_UNESCAPED_UNICODE | JSON_UNESCAPED_SLASHES);
exit;
}
?>
<?php require __DIR__ . '/header.php'; ?>
<?php
$timeLocationName = !empty($currentLocation['name']) ? (string) $currentLocation['name'] : '';
$timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($currentLocation['longitude'])
? (float) $currentLocation['longitude']
: null;
?>
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/flatpickr/dist/flatpickr.min.css">
<style>
.astro-conv-layout {
@@ -281,7 +372,17 @@ function h(?string $value): string
<div class="astro-conv-grid" id="timeConverter">
<div class="astro-conv-field">
<label for="timeUtc">UTC</label>
<input class="astro-conv-input" id="timeUtc" type="text" value="2026-04-06 12:00:00">
<input class="astro-conv-input" id="timeUtc" type="text" value="2026-04-06 12:00:00" autocomplete="off">
</div>
<div class="astro-conv-field">
<label for="timeUt1">UT1</label>
<input class="astro-conv-input" id="timeUt1" type="text" readonly>
</div>
<div class="astro-conv-field">
<label for="timeTai">TAI</label>
<input class="astro-conv-input" id="timeTai" type="text" readonly>
</div>
<div class="astro-conv-field">
@@ -298,6 +399,42 @@ function h(?string $value): string
<label for="timeUnix">Unix-Zeit</label>
<input class="astro-conv-input" id="timeUnix" type="text" inputmode="decimal">
</div>
<div class="astro-conv-field">
<label for="timeTrueSolar">
<span
class="astro-conv-label-help"
title="<?= h($timeLocationLongitude !== null
? 'Wahre Ortszeit fuer den Standard-Standort aus dem Header. Berechnet aus UTC, Laengengrad und Gleichung der Zeit.'
: 'Wahre Ortszeit ist nur verfuegbar, wenn ein Standard-Standort mit Laengengrad hinterlegt ist.') ?>"
>Wahre Ortszeit<?= $timeLocationName !== '' ? ' (' . h($timeLocationName) . ')' : '' ?></span>
</label>
<input
class="astro-conv-input"
id="timeTrueSolar"
type="text"
value="<?= h($timeLocationLongitude !== null ? '' : 'Kein Standard-Standort verfuegbar') ?>"
readonly
>
</div>
<div class="astro-conv-field">
<label for="timeSidereal">
<span
class="astro-conv-label-help"
title="<?= h($timeLocationLongitude !== null
? 'Lokale Sternzeit fuer den Standard-Standort aus dem Header. Berechnet aus Julianischem Datum und Laengengrad.'
: 'Sternzeit ist nur verfuegbar, wenn ein Standard-Standort mit Laengengrad hinterlegt ist.') ?>"
>Sternzeit<?= $timeLocationName !== '' ? ' (' . h($timeLocationName) . ')' : '' ?></span>
</label>
<input
class="astro-conv-input"
id="timeSidereal"
type="text"
value="<?= h($timeLocationLongitude !== null ? '' : 'Kein Standard-Standort verfuegbar') ?>"
readonly
>
</div>
</div>
<div class="astro-conv-actions">
@@ -309,8 +446,15 @@ function h(?string $value): string
</div>
<script src="js/number_to_german_words.js"></script>
<script src="https://cdn.jsdelivr.net/npm/flatpickr"></script>
<script src="https://cdn.jsdelivr.net/npm/flatpickr/dist/l10n/de.js"></script>
<script>
(function () {
const CONVERSIONS_ENDPOINT = window.location.href;
const USER_TIME_LOCATION = {
name: <?= json_encode($timeLocationName, JSON_UNESCAPED_UNICODE | JSON_UNESCAPED_SLASHES) ?>,
longitude: <?= $timeLocationLongitude !== null ? json_encode($timeLocationLongitude) : 'null' ?>
};
const SPEED_OF_LIGHT_KM_S = 299792.458;
const H0 = 70;
const OMEGA_M = 0.3;
@@ -352,10 +496,19 @@ function h(?string $value): string
const timeFields = {
utc: document.getElementById('timeUtc'),
ut1: document.getElementById('timeUt1'),
tai: document.getElementById('timeTai'),
jd: document.getElementById('timeJd'),
mjd: document.getElementById('timeMjd'),
unix: document.getElementById('timeUnix')
unix: document.getElementById('timeUnix'),
trueSolar: document.getElementById('timeTrueSolar'),
sidereal: document.getElementById('timeSidereal')
};
let isSyncingTimePicker = false;
let timeUtcPicker = null;
let distanceRequestId = 0;
let redshiftRequestId = 0;
let timeRequestId = 0;
const DECIMAL_DIVISION_PRECISION = 32;
const pow10Cache = [1n];
@@ -627,6 +780,15 @@ function h(?string $value): string
return formatDecimal(value, 10);
};
const formatJulianDateValue = function (value) {
const formatted = formatValue(value);
if (formatted === '') {
return '';
}
return formatted.includes(',') ? formatted : `${formatted},0`;
};
const cosmologyE = function (z) {
return Math.sqrt(OMEGA_M * Math.pow(1 + z, 3) + OMEGA_LAMBDA);
};
@@ -758,7 +920,7 @@ function h(?string $value): string
wireTooltipHover(field);
});
const updateDistanceFrom = function (sourceUnit) {
const updateDistanceFrom = async function (sourceUnit) {
const rawValue = distanceFields[sourceUnit].value.trim();
if (rawValue === '') {
Object.values(distanceFields).forEach(function (field, index) {
@@ -769,22 +931,22 @@ function h(?string $value): string
return;
}
const decimalValue = parseDecimalInput(rawValue);
if (!decimalValue) {
return;
}
const requestId = ++distanceRequestId;
try {
const result = await requestConversion({
kind: 'distance',
sourceUnit,
sourceValue: rawValue
});
distanceFields[sourceUnit].value = formatValue(decimalValue);
updateTooltip(distanceFields[sourceUnit]);
Object.entries(distanceFields).forEach(function ([unit, field]) {
if (unit === sourceUnit) {
if (requestId !== distanceRequestId || !result.valid) {
return;
}
field.value = formatValue(convertDistanceDecimal(decimalValue, sourceUnit, unit));
updateTooltip(field);
});
setFieldValues(distanceFields, result.fields || {});
} catch (error) {
return;
}
};
distanceFieldEntries.forEach(function ([unit, field]) {
@@ -810,60 +972,29 @@ function h(?string $value): string
updateDistanceFrom('au');
});
const updateRedshift = function () {
const zDecimal = parseDecimalInput(redshiftFields.z.value.trim());
const restNmDecimal = parseDecimalInput(redshiftFields.restNm.value.trim());
const z = zDecimal ? decimalToNumber(zDecimal) : Number.NaN;
const restNm = restNmDecimal ? decimalToNumber(restNmDecimal) : Number.NaN;
if (!zDecimal || !restNmDecimal || !Number.isFinite(z) || !Number.isFinite(restNm) || z <= -1) {
const updateRedshift = async function () {
const zValue = redshiftFields.z.value.trim();
const restNmValue = redshiftFields.restNm.value.trim();
if (zValue === '' || restNmValue === '') {
return;
}
const factorDecimal = decimalAdd(decimalConstants.one, zDecimal);
const factor = decimalToNumber(factorDecimal);
const scaleFactorDecimal = decimalDivide(decimalConstants.one, factorDecimal, DECIMAL_DIVISION_PRECISION);
const observedNmDecimal = decimalMultiply(restNmDecimal, factorDecimal);
const frequencyFactorDecimal = decimalDivide(decimalConstants.one, factorDecimal, DECIMAL_DIVISION_PRECISION);
const velocityApproxDecimal = decimalMultiply(zDecimal, decimalConstants.speedOfLightKmS);
const factorSquaredDecimal = decimalSquare(factorDecimal);
const betaRelDecimal = decimalDivide(
decimalSubtract(factorSquaredDecimal, decimalConstants.one),
decimalAdd(factorSquaredDecimal, decimalConstants.one),
DECIMAL_DIVISION_PRECISION
);
const velocityRelDecimal = decimalMultiply(betaRelDecimal, decimalConstants.speedOfLightKmS);
const velocityCDecimal = decimalMultiply(betaRelDecimal, decimalConstants.hundred);
const requestId = ++redshiftRequestId;
try {
const result = await requestConversion({
kind: 'redshift',
z: zValue,
restNm: restNmValue
});
const comovingIntegral = adaptiveSimpson(function (currentZ) {
return 1 / cosmologyE(currentZ);
}, 0, z, 1e-10, 20);
const lookbackIntegral = adaptiveSimpson(function (currentZ) {
return 1 / ((1 + currentZ) * cosmologyE(currentZ));
}, 0, z, 1e-10, 20);
const hubbleTimeSeconds = MPC_IN_KM / H0;
const comovingMpc = (SPEED_OF_LIGHT_KM_S / H0) * comovingIntegral;
const luminosityMpc = comovingMpc * factor;
const angularDiameterMpc = comovingMpc / factor;
const lookbackGyr = (hubbleTimeSeconds * lookbackIntegral) / SECONDS_PER_GYR;
if (requestId !== redshiftRequestId || !result.valid) {
return;
}
redshiftFields.z.value = formatValue(zDecimal);
redshiftFields.restNm.value = formatValue(restNmDecimal);
redshiftFields.factor.value = formatValue(factorDecimal);
redshiftFields.scaleFactor.value = formatValue(scaleFactorDecimal);
redshiftFields.observedNm.value = formatValue(observedNmDecimal);
redshiftFields.frequencyFactor.value = formatValue(frequencyFactorDecimal);
redshiftFields.velocityApprox.value = formatValue(velocityApproxDecimal);
redshiftFields.velocityRel.value = formatValue(velocityRelDecimal);
redshiftFields.velocityC.value = formatValue(velocityCDecimal);
redshiftFields.lookbackGyr.value = formatValue(decimalFromNumber(lookbackGyr, 18));
redshiftFields.comovingMpc.value = formatValue(decimalFromNumber(comovingMpc, 18));
redshiftFields.luminosityMpc.value = formatValue(decimalFromNumber(luminosityMpc, 18));
redshiftFields.angularDiameterMpc.value = formatValue(decimalFromNumber(angularDiameterMpc, 18));
Object.values(redshiftFields).forEach(function (field) {
updateTooltip(field);
});
setFieldValues(redshiftFields, result.fields || {});
} catch (error) {
return;
}
};
['z', 'restNm'].forEach(function (key) {
@@ -926,6 +1057,98 @@ function h(?string $value): string
return parts.join('-') + ' ' + timeParts.join(':');
};
const formatUtcDateTimeGerman = function (date) {
if (!(date instanceof Date) || Number.isNaN(date.getTime())) {
return '';
}
const parts = [
date.getUTCDate().toString().padStart(2, '0'),
(date.getUTCMonth() + 1).toString().padStart(2, '0'),
date.getUTCFullYear().toString().padStart(4, '0')
];
const timeParts = [
date.getUTCHours().toString().padStart(2, '0'),
date.getUTCMinutes().toString().padStart(2, '0'),
date.getUTCSeconds().toString().padStart(2, '0')
];
return parts.join('.') + ' ' + timeParts.join(':');
};
const parseUtcDateTimeGerman = function (value) {
const match = String(value).trim().match(/^(\d{2})\.(\d{2})\.(\d{4})(?:[ ](\d{2}):(\d{2})(?::(\d{2}))?)?$/);
if (!match) {
return null;
}
const day = Number(match[1]);
const month = Number(match[2]);
const year = Number(match[3]);
const hour = Number(match[4] || '0');
const minute = Number(match[5] || '0');
const second = Number(match[6] || '0');
const date = new Date(Date.UTC(year, month - 1, day, hour, minute, second));
return Number.isNaN(date.getTime()) ? null : date;
};
const syncTimePickerFromDate = function (date) {
if (!timeUtcPicker) {
return;
}
isSyncingTimePicker = true;
timeUtcPicker.setDate(date, false);
isSyncingTimePicker = false;
};
if (window.flatpickr) {
timeUtcPicker = window.flatpickr(timeFields.utc, {
enableTime: true,
enableSeconds: true,
time_24hr: true,
allowInput: true,
altInput: true,
altFormat: 'd.m.Y H:i:S',
dateFormat: 'Y-m-d H:i:S',
locale: window.flatpickr.l10ns.de,
defaultDate: parseUtcDateTime(timeFields.utc.value),
parseDate: function (value, format) {
if (format === 'd.m.Y H:i:S') {
return parseUtcDateTimeGerman(value);
}
return parseUtcDateTime(value);
},
formatDate: function (date, format) {
if (format === 'd.m.Y H:i:S') {
return formatUtcDateTimeGerman(date);
}
return formatUtcDateTime(date);
},
onValueUpdate: function (selectedDates, dateStr, instance) {
if (isSyncingTimePicker) {
return;
}
timeFields.utc.value = dateStr;
updateTimeFrom('utc');
if (instance.altInput) {
instance.altInput.setAttribute('placeholder', 'TT.MM.JJJJ HH:MM:SS');
}
}
});
if (timeUtcPicker.altInput) {
timeUtcPicker.altInput.classList.add('astro-conv-input');
timeUtcPicker.altInput.setAttribute('placeholder', 'TT.MM.JJJJ HH:MM:SS');
}
}
const dateToJulianDateDecimal = function (date) {
const unixMsDecimal = decimalFromInteger(BigInt(date.getTime()));
return decimalAdd(
@@ -934,6 +1157,91 @@ function h(?string $value): string
);
};
const normalizeDegrees = function (degrees) {
let normalized = degrees % 360;
if (normalized < 0) {
normalized += 360;
}
return normalized;
};
const formatHoursToClock = function (hoursValue) {
const normalizedHours = ((hoursValue % 24) + 24) % 24;
const totalSeconds = Math.round(normalizedHours * 3600);
const hours = Math.floor(totalSeconds / 3600) % 24;
const minutes = Math.floor((totalSeconds % 3600) / 60);
const seconds = totalSeconds % 60;
return [
hours.toString().padStart(2, '0'),
minutes.toString().padStart(2, '0'),
seconds.toString().padStart(2, '0')
].join(':');
};
const getEquationOfTimeMinutes = function (date) {
const startOfYearUtc = Date.UTC(date.getUTCFullYear(), 0, 1);
const dayOfYear = Math.floor((date.getTime() - startOfYearUtc) / 86400000) + 1;
const fractionalHour = date.getUTCHours() + (date.getUTCMinutes() / 60) + (date.getUTCSeconds() / 3600);
const gamma = (2 * Math.PI / 365) * (dayOfYear - 1 + ((fractionalHour - 12) / 24));
return 229.18 * (
0.000075
+ 0.001868 * Math.cos(gamma)
- 0.032077 * Math.sin(gamma)
- 0.014615 * Math.cos(2 * gamma)
- 0.040849 * Math.sin(2 * gamma)
);
};
const updateTrueSolarTime = function (date) {
if (!timeFields.trueSolar) {
return;
}
if (!(date instanceof Date) || Number.isNaN(date.getTime())) {
timeFields.trueSolar.value = '';
return;
}
if (!Number.isFinite(Number(USER_TIME_LOCATION.longitude))) {
timeFields.trueSolar.value = 'Kein Standard-Standort verfuegbar';
return;
}
const trueSolarOffsetMinutes = (Number(USER_TIME_LOCATION.longitude) * 4) + getEquationOfTimeMinutes(date);
const trueSolarDate = new Date(date.getTime() + Math.round(trueSolarOffsetMinutes * 60000));
timeFields.trueSolar.value = formatUtcDateTimeGerman(trueSolarDate);
};
const updateSiderealTime = function (jdDecimal) {
if (!timeFields.sidereal) {
return;
}
if (!jdDecimal) {
timeFields.sidereal.value = '';
return;
}
if (!Number.isFinite(Number(USER_TIME_LOCATION.longitude))) {
timeFields.sidereal.value = 'Kein Standard-Standort verfuegbar';
return;
}
const jd = decimalToNumber(jdDecimal);
const t = (jd - 2451545.0) / 36525;
const gmstDegrees = normalizeDegrees(
280.46061837
+ (360.98564736629 * (jd - 2451545.0))
+ (0.000387933 * t * t)
- ((t * t * t) / 38710000)
);
const lstDegrees = normalizeDegrees(gmstDegrees + Number(USER_TIME_LOCATION.longitude));
timeFields.sidereal.value = formatHoursToClock(lstDegrees / 15);
};
const julianDateDecimalToDate = function (jdDecimal) {
const unixMsDecimal = decimalMultiply(
decimalSubtract(jdDecimal, decimalConstants.jdUnixEpoch),
@@ -943,43 +1251,73 @@ function h(?string $value): string
return new Date(Number(unixMs));
};
const updateTimeFrom = function (sourceUnit) {
let date = null;
if (sourceUnit === 'utc') {
date = parseUtcDateTime(timeFields.utc.value);
} else if (sourceUnit === 'jd') {
const jdDecimal = parseDecimalInput(timeFields.jd.value.trim());
date = jdDecimal ? julianDateDecimalToDate(jdDecimal) : null;
} else if (sourceUnit === 'mjd') {
const mjdDecimal = parseDecimalInput(timeFields.mjd.value.trim());
date = mjdDecimal ? julianDateDecimalToDate(decimalAdd(mjdDecimal, decimalConstants.mjdOffset)) : null;
} else if (sourceUnit === 'unix') {
const unixSecondsDecimal = parseDecimalInput(timeFields.unix.value.trim());
if (unixSecondsDecimal) {
const unixMs = decimalRoundToBigInt(decimalMultiply(unixSecondsDecimal, decimalConstants.msPerSecond));
date = new Date(Number(unixMs));
}
}
if (!(date instanceof Date) || Number.isNaN(date.getTime())) {
const updateTimeFrom = async function (sourceUnit) {
const sourceField = timeFields[sourceUnit];
if (!sourceField) {
return;
}
const jdDecimal = dateToJulianDateDecimal(date);
const mjdDecimal = decimalSubtract(jdDecimal, decimalConstants.mjdOffset);
const unixSecondsDecimal = decimalDivide(decimalFromInteger(BigInt(date.getTime())), decimalConstants.msPerSecond, 10);
const sourceValue = sourceField.value.trim();
if (sourceValue === '') {
return;
}
timeFields.utc.value = formatUtcDateTime(date);
timeFields.jd.value = formatValue(jdDecimal);
timeFields.mjd.value = formatValue(mjdDecimal);
timeFields.unix.value = formatValue(unixSecondsDecimal);
const requestId = ++timeRequestId;
try {
const result = await requestConversion({
kind: 'time',
sourceUnit,
sourceValue,
longitude: USER_TIME_LOCATION.longitude
});
Object.values(timeFields).forEach(function (field) {
if (requestId !== timeRequestId || !result.valid) {
return;
}
setFieldValues(timeFields, result.fields || {});
const utcDate = parseUtcDateTime(timeFields.utc.value);
if (utcDate) {
syncTimePickerFromDate(utcDate);
}
} catch (error) {
return;
}
};
const setFieldValues = function (fieldsMap, values) {
Object.entries(fieldsMap).forEach(function ([key, field]) {
if (!field) {
return;
}
field.value = typeof values[key] === 'string' ? values[key] : '';
updateTooltip(field);
});
};
const requestConversion = async function (payload) {
const formData = new FormData();
formData.set('ajax', '1');
Object.entries(payload).forEach(function ([key, value]) {
formData.set(key, value == null ? '' : String(value));
});
const response = await fetch(CONVERSIONS_ENDPOINT, {
method: 'POST',
body: formData,
headers: { 'Accept': 'application/json' }
});
const json = await response.json();
if (!response.ok || !json.ok) {
throw new Error(json.error || 'Umrechnung fehlgeschlagen.');
}
return json;
};
timeFields.utc.addEventListener('input', function () {
updateTimeFrom('utc');
});
@@ -991,8 +1329,25 @@ function h(?string $value): string
document.getElementById('timeClear').addEventListener('click', function () {
Object.values(timeFields).forEach(function (field) {
field.value = '';
if (field !== timeFields.trueSolar && field !== timeFields.sidereal) {
field.value = '';
}
});
if (timeUtcPicker) {
isSyncingTimePicker = true;
timeUtcPicker.clear(false);
isSyncingTimePicker = false;
}
timeFields.trueSolar.value = Number.isFinite(Number(USER_TIME_LOCATION.longitude))
? ''
: 'Kein Standard-Standort verfuegbar';
timeFields.sidereal.value = Number.isFinite(Number(USER_TIME_LOCATION.longitude))
? ''
: 'Kein Standard-Standort verfuegbar';
if (timeUtcPicker && timeUtcPicker.altInput) {
timeUtcPicker.altInput.focus();
return;
}
timeFields.utc.focus();
});
+54 -1
View File
@@ -12,6 +12,7 @@ if SCRIPT_DIR not in sys.path:
sys.path.insert(0, SCRIPT_DIR)
import astronomy
import astronomical_conversions
MOON_RADIUS_KM = 1737.4
SYNODIC_MONTH = 29.530588853
@@ -204,6 +205,53 @@ def action_current_solar_longitude(args: list[str]) -> dict:
}
def action_astronomical_conversions(args: list[str]) -> dict:
if len(args) < 1:
fail(
"Aktion astronomical_conversions erwartet mindestens 1 Argument: kind",
extra={"argv": args},
)
kind = str(args[0]).strip().lower()
payload: dict[str, str | None] = {"kind": kind}
if kind == "distance":
if len(args) != 3:
fail(
"Aktion astronomical_conversions fuer distance erwartet 3 Argumente: kind sourceUnit sourceValue",
extra={"argv": args},
)
payload["sourceUnit"] = args[1]
payload["sourceValue"] = args[2]
elif kind == "redshift":
if len(args) != 3:
fail(
"Aktion astronomical_conversions fuer redshift erwartet 3 Argumente: kind z restNm",
extra={"argv": args},
)
payload["z"] = args[1]
payload["restNm"] = args[2]
elif kind == "time":
if len(args) != 4:
fail(
"Aktion astronomical_conversions fuer time erwartet 4 Argumente: kind sourceUnit sourceValue longitude",
extra={"argv": args},
)
payload["sourceUnit"] = args[1]
payload["sourceValue"] = args[2]
payload["longitude"] = args[3]
else:
fail(
"Unbekannter Umrechnungsbereich fuer astronomical_conversions.",
extra={"kind": kind, "argv": args},
)
try:
return astronomical_conversions.handle_request(payload)
except ValueError as exc:
fail(str(exc), extra={"kind": kind})
def search_event(
body: astronomy.Body,
direction: astronomy.Direction,
@@ -4145,6 +4193,11 @@ def main() -> None:
print(json.dumps(result, ensure_ascii=True))
return
if action == "astronomical_conversions":
result = action_astronomical_conversions(args)
print(json.dumps(result, ensure_ascii=True))
return
if action == "moon_star_occultations":
result = action_moon_star_occultations(args)
print(json.dumps(result, ensure_ascii=True))
@@ -4270,7 +4323,7 @@ def main() -> None:
print(json.dumps(result, ensure_ascii=True))
return
fail("Unbekannte Aktion.", extra={"action": action, "available_actions": ["sun_moon_rise_set", "solar_longitude_to_datetime", "current_solar_longitude", "moon_star_occultations", "moon_phase_details", "satellite_passes", "planet_rise_set", "month_sky_context", "moon_phases_for_month", "golden_handle_for_month", "season_changes_for_month", "time_changes_for_month", "moon_planet_approaches", "moon_deep_sky_approaches_for_month", "planet_bright_star_approaches_for_month", "planet_conjunctions_for_month", "eclipses_for_month", "moon_apsides_for_month", "sun_apsides_for_month", "inner_planet_elongations_for_month", "venus_peak_magnitude_for_month", "outer_planet_events_for_month", "outer_planet_stations_for_month", "jupiter_moons_one_side_for_month", "mercury_good_visibility_for_month", "planet_parades_for_month", "planet_constellation_changes_for_month", "moon_star_occultations_for_month"]})
fail("Unbekannte Aktion.", extra={"action": action, "available_actions": ["sun_moon_rise_set", "solar_longitude_to_datetime", "current_solar_longitude", "astronomical_conversions", "moon_star_occultations", "moon_phase_details", "satellite_passes", "planet_rise_set", "month_sky_context", "moon_phases_for_month", "golden_handle_for_month", "season_changes_for_month", "time_changes_for_month", "moon_planet_approaches", "moon_deep_sky_approaches_for_month", "planet_bright_star_approaches_for_month", "planet_conjunctions_for_month", "eclipses_for_month", "moon_apsides_for_month", "sun_apsides_for_month", "inner_planet_elongations_for_month", "venus_peak_magnitude_for_month", "outer_planet_events_for_month", "outer_planet_stations_for_month", "jupiter_moons_one_side_for_month", "mercury_good_visibility_for_month", "planet_parades_for_month", "planet_constellation_changes_for_month", "moon_star_occultations_for_month"]})
if __name__ == "__main__":
+409
View File
@@ -0,0 +1,409 @@
#!/usr/bin/env python3
import math
from datetime import datetime, timedelta, timezone
from decimal import Decimal, InvalidOperation, ROUND_HALF_UP, localcontext
import astronomy
try:
from astropy.time import Time as AstropyTime
ASTROPY_AVAILABLE = True
except ImportError:
AstropyTime = None
ASTROPY_AVAILABLE = False
SPEED_OF_LIGHT_KM_S = 299792.458
H0 = 70.0
OMEGA_M = 0.3
OMEGA_LAMBDA = 0.7
MPC_IN_KM = 3.0856775814913673e19
SECONDS_PER_GYR = 365.25 * 24 * 3600 * 1e9
DECIMAL_PI = Decimal("3.14159265358979323846264338327950288419716939937510")
DECIMAL_180 = Decimal("180")
DECIMAL_36525 = Decimal("36525")
DECIMAL_2400000_5 = Decimal("2400000.5")
DECIMAL_2440587_5 = Decimal("2440587.5")
DECIMAL_86400 = Decimal("86400")
DECIMAL_1000 = Decimal("1000")
DECIMAL_ONE = Decimal("1")
DECIMAL_HUNDRED = Decimal("100")
DISTANCE_TO_KM = {
"km": Decimal("1"),
"au": Decimal("149597870.7"),
"lm": Decimal("17987547.48"),
"lh": Decimal("1079252848.8"),
"ly": Decimal("9460730472580.8"),
"pc": Decimal("30856775814913.67"),
"mpc": Decimal("30856775814913670000"),
}
DISTANCE_ORDER = ["km", "au", "lm", "lh", "ly", "pc", "mpc"]
REDSHIFT_ORDER = [
"z",
"restNm",
"factor",
"scaleFactor",
"observedNm",
"frequencyFactor",
"velocityApprox",
"velocityRel",
"velocityC",
"lookbackGyr",
"comovingMpc",
"luminosityMpc",
"angularDiameterMpc",
]
TIME_ORDER = ["utc", "ut1", "tai", "jd", "mjd", "unix", "trueSolar", "sidereal"]
LEAP_SECONDS = [
("1972-01-01T00:00:00Z", 10),
("1972-07-01T00:00:00Z", 11),
("1973-01-01T00:00:00Z", 12),
("1974-01-01T00:00:00Z", 13),
("1975-01-01T00:00:00Z", 14),
("1976-01-01T00:00:00Z", 15),
("1977-01-01T00:00:00Z", 16),
("1978-01-01T00:00:00Z", 17),
("1979-01-01T00:00:00Z", 18),
("1980-01-01T00:00:00Z", 19),
("1981-07-01T00:00:00Z", 20),
("1982-07-01T00:00:00Z", 21),
("1983-07-01T00:00:00Z", 22),
("1985-07-01T00:00:00Z", 23),
("1988-01-01T00:00:00Z", 24),
("1990-01-01T00:00:00Z", 25),
("1991-01-01T00:00:00Z", 26),
("1992-07-01T00:00:00Z", 27),
("1993-07-01T00:00:00Z", 28),
("1994-07-01T00:00:00Z", 29),
("1996-01-01T00:00:00Z", 30),
("1997-07-01T00:00:00Z", 31),
("1999-01-01T00:00:00Z", 32),
("2006-01-01T00:00:00Z", 33),
("2009-01-01T00:00:00Z", 34),
("2012-07-01T00:00:00Z", 35),
("2015-07-01T00:00:00Z", 36),
("2017-01-01T00:00:00Z", 37),
]
def parse_decimal_input(value: str) -> Decimal | None:
text = str(value or "").strip()
if text == "":
return None
normalized = text.replace(" ", "").replace(".", "").replace(",", ".")
if normalized.count(".") > 1:
return None
try:
return Decimal(normalized)
except InvalidOperation:
return None
def format_decimal_german(value: Decimal | float | int | None, *, max_fraction_digits: int = 10, min_fraction_digits: int = 0) -> str:
if value is None:
return ""
decimal_value = value if isinstance(value, Decimal) else Decimal(str(value))
quantize_digits = max(0, int(max_fraction_digits))
with localcontext() as context:
context.prec = max(50, quantize_digits + 20)
if quantize_digits > 0:
quantum = Decimal("1").scaleb(-quantize_digits)
decimal_value = decimal_value.quantize(quantum, rounding=ROUND_HALF_UP)
sign = "-" if decimal_value < 0 else ""
decimal_value = abs(decimal_value)
text = format(decimal_value, "f")
integer_part, _, fractional_part = text.partition(".")
fractional_part = fractional_part.rstrip("0")
if len(fractional_part) < min_fraction_digits:
fractional_part = fractional_part + ("0" * (min_fraction_digits - len(fractional_part)))
integer_part = format(int(integer_part or "0"), ",").replace(",", ".")
return f"{sign}{integer_part},{fractional_part}" if fractional_part else f"{sign}{integer_part}"
def format_utc_datetime(dt_utc: datetime) -> str:
return dt_utc.astimezone(timezone.utc).strftime("%Y-%m-%d %H:%M:%S")
def format_german_datetime(dt_utc: datetime) -> str:
return dt_utc.astimezone(timezone.utc).strftime("%d.%m.%Y %H:%M:%S")
def format_clock(hours_value: float) -> str:
normalized = (hours_value % 24.0 + 24.0) % 24.0
total_seconds = int(round(normalized * 3600.0))
hours = (total_seconds // 3600) % 24
minutes = (total_seconds % 3600) // 60
seconds = total_seconds % 60
return f"{hours:02d}:{minutes:02d}:{seconds:02d}"
def leap_seconds_for_utc(dt_utc: datetime) -> int:
count = 0
for effective_iso, total_offset in LEAP_SECONDS:
effective_dt = datetime.strptime(effective_iso, "%Y-%m-%dT%H:%M:%SZ").replace(tzinfo=timezone.utc)
if dt_utc >= effective_dt:
count = total_offset
else:
break
return count
def parse_utc_datetime(value: str) -> datetime | None:
text = str(value or "").strip()
if text == "":
return None
for fmt in ("%Y-%m-%d %H:%M:%S", "%Y-%m-%dT%H:%M:%S", "%Y-%m-%d %H:%M", "%Y-%m-%d"):
try:
parsed = datetime.strptime(text, fmt)
return parsed.replace(tzinfo=timezone.utc)
except ValueError:
continue
return None
def dt_to_time(dt_utc: datetime) -> astronomy.Time:
dt_utc = dt_utc.astimezone(timezone.utc)
return astronomy.Time.Make(
dt_utc.year,
dt_utc.month,
dt_utc.day,
dt_utc.hour,
dt_utc.minute,
dt_utc.second + (dt_utc.microsecond / 1_000_000.0),
)
def time_to_datetime(time_value: astronomy.Time) -> datetime:
year, month, day, hour, minute, second = time_value.Calendar()
second_int = int(second)
microsecond = int(round((second - second_int) * 1_000_000))
if microsecond >= 1_000_000:
second_int += 1
microsecond -= 1_000_000
return datetime(year, month, day, hour, minute, second_int, microsecond, tzinfo=timezone.utc)
def julian_decimal_to_datetime(jd_decimal: Decimal) -> datetime:
ut = float(jd_decimal - Decimal("2451545.0"))
return time_to_datetime(astronomy.Time(ut))
def datetime_to_julian_decimal(dt_utc: datetime) -> Decimal:
time_value = dt_to_time(dt_utc)
return Decimal(str(time_value.ut)) + Decimal("2451545.0")
def cosmology_e(current_z: float) -> float:
return math.sqrt((OMEGA_M * ((1 + current_z) ** 3)) + OMEGA_LAMBDA)
def adaptive_simpson(fn, start: float, end: float, epsilon: float = 1e-10, max_depth: int = 20) -> float:
def simpson(left: float, right: float, left_value: float, middle_value: float, right_value: float) -> float:
return (right - left) * (left_value + 4 * middle_value + right_value) / 6
def recurse(left: float, right: float, eps: float, whole: float, left_value: float, middle_value: float, right_value: float, depth: int) -> float:
middle = (left + right) / 2
left_middle = (left + middle) / 2
right_middle = (middle + right) / 2
left_middle_value = fn(left_middle)
right_middle_value = fn(right_middle)
left_area = simpson(left, middle, left_value, left_middle_value, middle_value)
right_area = simpson(middle, right, middle_value, right_middle_value, right_value)
delta = left_area + right_area - whole
if depth <= 0 or abs(delta) <= 15 * eps:
return left_area + right_area + (delta / 15)
return recurse(left, middle, eps / 2, left_area, left_value, left_middle_value, middle_value, depth - 1) + recurse(
middle, right, eps / 2, right_area, middle_value, right_middle_value, right_value, depth - 1
)
left_value = fn(start)
right_value = fn(end)
middle = (start + end) / 2
middle_value = fn(middle)
whole = simpson(start, end, left_value, middle_value, right_value)
if not math.isfinite(whole):
return math.nan
return recurse(start, end, epsilon, whole, left_value, middle_value, right_value, max_depth)
def convert_distance(payload: dict) -> dict:
source_unit = str(payload.get("sourceUnit") or "").strip().lower()
source_value = parse_decimal_input(payload.get("sourceValue", ""))
if source_unit not in DISTANCE_TO_KM or source_value is None:
return {"valid": False, "fields": {key: "" for key in DISTANCE_ORDER}}
value_in_km = source_value * DISTANCE_TO_KM[source_unit]
fields: dict[str, str] = {}
for unit in DISTANCE_ORDER:
converted = value_in_km / DISTANCE_TO_KM[unit]
fields[unit] = format_decimal_german(converted)
return {"valid": True, "fields": fields}
def convert_redshift(payload: dict) -> dict:
z_decimal = parse_decimal_input(payload.get("z", ""))
rest_nm_decimal = parse_decimal_input(payload.get("restNm", ""))
if z_decimal is None or rest_nm_decimal is None:
return {"valid": False, "fields": {key: "" for key in REDSHIFT_ORDER}}
z = float(z_decimal)
rest_nm = float(rest_nm_decimal)
if not math.isfinite(z) or not math.isfinite(rest_nm) or z <= -1.0:
return {"valid": False, "fields": {key: "" for key in REDSHIFT_ORDER}}
factor_decimal = DECIMAL_ONE + z_decimal
scale_factor_decimal = DECIMAL_ONE / factor_decimal
observed_nm_decimal = rest_nm_decimal * factor_decimal
frequency_factor_decimal = DECIMAL_ONE / factor_decimal
velocity_approx_decimal = z_decimal * Decimal(str(SPEED_OF_LIGHT_KM_S))
factor_squared_decimal = factor_decimal * factor_decimal
beta_rel_decimal = (factor_squared_decimal - DECIMAL_ONE) / (factor_squared_decimal + DECIMAL_ONE)
velocity_rel_decimal = beta_rel_decimal * Decimal(str(SPEED_OF_LIGHT_KM_S))
velocity_c_decimal = beta_rel_decimal * DECIMAL_HUNDRED
factor = float(factor_decimal)
comoving_integral = adaptive_simpson(lambda current_z: 1 / cosmology_e(current_z), 0, z, 1e-10, 20)
lookback_integral = adaptive_simpson(lambda current_z: 1 / ((1 + current_z) * cosmology_e(current_z)), 0, z, 1e-10, 20)
hubble_time_seconds = MPC_IN_KM / H0
comoving_mpc = (SPEED_OF_LIGHT_KM_S / H0) * comoving_integral
luminosity_mpc = comoving_mpc * factor
angular_diameter_mpc = comoving_mpc / factor
lookback_gyr = (hubble_time_seconds * lookback_integral) / SECONDS_PER_GYR
fields = {
"z": format_decimal_german(z_decimal),
"restNm": format_decimal_german(rest_nm_decimal),
"factor": format_decimal_german(factor_decimal),
"scaleFactor": format_decimal_german(scale_factor_decimal),
"observedNm": format_decimal_german(observed_nm_decimal),
"frequencyFactor": format_decimal_german(frequency_factor_decimal),
"velocityApprox": format_decimal_german(velocity_approx_decimal),
"velocityRel": format_decimal_german(velocity_rel_decimal),
"velocityC": format_decimal_german(velocity_c_decimal),
"lookbackGyr": format_decimal_german(lookback_gyr),
"comovingMpc": format_decimal_german(comoving_mpc),
"luminosityMpc": format_decimal_german(luminosity_mpc),
"angularDiameterMpc": format_decimal_german(angular_diameter_mpc),
}
return {"valid": True, "fields": fields}
def convert_time(payload: dict) -> dict:
source_unit = str(payload.get("sourceUnit") or "").strip()
longitude = payload.get("longitude")
longitude_value = None
try:
longitude_value = float(longitude) if longitude not in (None, "") else None
except (TypeError, ValueError):
longitude_value = None
dt_utc: datetime | None = None
if source_unit == "utc":
dt_utc = parse_utc_datetime(payload.get("sourceValue", ""))
elif source_unit == "jd":
jd_decimal = parse_decimal_input(payload.get("sourceValue", ""))
if jd_decimal is not None:
dt_utc = julian_decimal_to_datetime(jd_decimal)
elif source_unit == "mjd":
mjd_decimal = parse_decimal_input(payload.get("sourceValue", ""))
if mjd_decimal is not None:
dt_utc = julian_decimal_to_datetime(mjd_decimal + DECIMAL_2400000_5)
elif source_unit == "unix":
unix_decimal = parse_decimal_input(payload.get("sourceValue", ""))
if unix_decimal is not None:
unix_ms = int((unix_decimal * DECIMAL_1000).to_integral_value(rounding=ROUND_HALF_UP))
dt_utc = datetime.fromtimestamp(unix_ms / 1000, tz=timezone.utc)
if dt_utc is None:
return {"valid": False, "fields": {key: "" for key in TIME_ORDER}}
jd_decimal = datetime_to_julian_decimal(dt_utc)
mjd_decimal = jd_decimal - DECIMAL_2400000_5
unix_decimal = Decimal(str(dt_utc.timestamp()))
fields = {
"utc": format_utc_datetime(dt_utc),
"ut1": "",
"tai": "",
"jd": format_decimal_german(jd_decimal, min_fraction_digits=1),
"mjd": format_decimal_german(mjd_decimal),
"unix": format_decimal_german(unix_decimal),
"trueSolar": "",
"sidereal": "",
}
if ASTROPY_AVAILABLE:
astropy_time = AstropyTime(dt_utc, scale="utc")
try:
ut1_datetime = astropy_time.ut1.to_datetime(timezone=timezone.utc)
fields["ut1"] = format_german_datetime(ut1_datetime)
except Exception:
fields["ut1"] = "Nicht verfuegbar"
try:
tai_datetime = astropy_time.tai.to_datetime(timezone=timezone.utc)
fields["tai"] = format_german_datetime(tai_datetime)
except Exception:
fields["tai"] = "Nicht verfuegbar"
else:
leap_seconds = leap_seconds_for_utc(dt_utc)
fields["ut1"] = format_german_datetime(dt_utc) + " (nahezu UTC)"
fields["tai"] = format_german_datetime(dt_utc + timedelta(seconds=leap_seconds))
if longitude_value is not None and math.isfinite(longitude_value):
observer = astronomy.Observer(0.0, longitude_value, 0.0)
time_value = dt_to_time(dt_utc)
sidereal_hours = (astronomy.SiderealTime(time_value) + longitude_value / 15.0) % 24.0
hour_angle = astronomy.HourAngle(astronomy.Body.Sun, time_value, observer)
true_solar_hours = (hour_angle + 12.0) % 24.0
utc_hours = dt_utc.hour + (dt_utc.minute / 60.0) + (dt_utc.second / 3600.0) + (dt_utc.microsecond / 3_600_000_000.0)
delta_hours = true_solar_hours - utc_hours
if delta_hours <= -12.0:
delta_hours += 24.0
elif delta_hours > 12.0:
delta_hours -= 24.0
true_solar_dt = dt_utc + timedelta(hours=delta_hours)
fields["trueSolar"] = format_german_datetime(true_solar_dt)
fields["sidereal"] = format_clock(sidereal_hours)
else:
fields["trueSolar"] = "Kein Standard-Standort verfuegbar"
fields["sidereal"] = "Kein Standard-Standort verfuegbar"
return {"valid": True, "fields": fields}
def handle_request(payload: dict) -> dict:
kind = str(payload.get("kind") or "").strip().lower()
if kind == "distance":
result = convert_distance(payload)
elif kind == "redshift":
result = convert_redshift(payload)
elif kind == "time":
result = convert_time(payload)
else:
raise ValueError("Unbekannter Umrechnungsbereich.")
return {
"ok": True,
"action": "astronomical_conversions",
"kind": kind,
**result,
}