Erweitere astronomische Umrechnungen um Koordinaten und Winkel

2026-06-20 20:04:34 +02:00
parent b7d684420a
commit b6e9247a84
4 changed files with 380 additions and 7 deletions
@@ -40,6 +40,19 @@ if ($_SERVER['REQUEST_METHOD'] === 'POST' && (string) ($_POST['ajax'] ?? '') ===
            trim((string) ($_POST['sourceValue'] ?? '')),
            trim((string) ($_POST['longitude'] ?? '')),
        ]);
+    } elseif ($kind === 'coordinates') {
+        $pythonResult = runPythonApi('astronomical_conversions', [
+            'coordinates',
+            trim((string) ($_POST['sourceSystem'] ?? '')),
+            trim((string) ($_POST['value1'] ?? '')),
+            trim((string) ($_POST['value2'] ?? '')),
+        ]);
+    } elseif ($kind === 'angle') {
+        $pythonResult = runPythonApi('astronomical_conversions', [
+            'angle',
+            trim((string) ($_POST['sourceUnit'] ?? '')),
+            trim((string) ($_POST['sourceValue'] ?? '')),
+        ]);
    } else {
        echo json_encode([
            'ok' => false,
@@ -213,6 +226,8 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
        <button type="button" class="astro-conv-tab is-active" data-tab-target="distanceTab" role="tab" aria-selected="true">Entfernung</button>
        <button type="button" class="astro-conv-tab" data-tab-target="redshiftTab" role="tab" aria-selected="false">Rotverschiebung</button>
        <button type="button" class="astro-conv-tab" data-tab-target="timeTab" role="tab" aria-selected="false">Zeit</button>
+        <button type="button" class="astro-conv-tab" data-tab-target="coordinatesTab" role="tab" aria-selected="false">Koordinaten</button>
+        <button type="button" class="astro-conv-tab" data-tab-target="angleTab" role="tab" aria-selected="false">Winkel</button>
    </div>

    <section class="card astro-conv-panel astro-conv-tab-panel is-active" id="distanceTab" role="tabpanel">
@@ -416,6 +431,72 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
            <button type="button" class="btn btn-primary" id="timeJ2000">J2000</button>
        </div>
    </section>
+
+    <section class="card astro-conv-panel astro-conv-tab-panel" id="coordinatesTab" role="tabpanel">
+        <h2>Koordinaten-Umrechner</h2>
+        <p>Umrechnung zwischen äquatorialen und galaktischen Koordinaten auf Basis des J2000-Systems. Eingabe und Ausgabe erfolgen in Dezimalgrad.</p>
+
+        <div class="astro-conv-grid" id="coordinatesConverter">
+            <div class="astro-conv-field">
+                <label for="coordRa"><span class="astro-conv-label-help" title="Rektaszension α im äquatorialen System, in Dezimalgrad von 0° bis 360°.">Rektaszension α (°)</span></label>
+                <input class="astro-conv-input" id="coordRa" type="text" inputmode="decimal" value="279,234735">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="coordDec"><span class="astro-conv-label-help" title="Deklination δ im äquatorialen System, in Dezimalgrad von -90° bis +90°.">Deklination δ (°)</span></label>
+                <input class="astro-conv-input" id="coordDec" type="text" inputmode="decimal" value="38,783689">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="coordGalLon"><span class="astro-conv-label-help" title="Galaktische Länge l in Dezimalgrad von 0° bis 360°.">Galaktische Länge l (°)</span></label>
+                <input class="astro-conv-input" id="coordGalLon" type="text" inputmode="decimal">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="coordGalLat"><span class="astro-conv-label-help" title="Galaktische Breite b in Dezimalgrad von -90° bis +90°.">Galaktische Breite b (°)</span></label>
+                <input class="astro-conv-input" id="coordGalLat" type="text" inputmode="decimal">
+            </div>
+        </div>
+
+        <div class="astro-conv-actions">
+            <button type="button" class="btn btn-secondary" id="coordinatesClear">Leeren</button>
+            <button type="button" class="btn btn-primary" id="coordinatesVega">Vega</button>
+            <button type="button" class="btn btn-primary" id="coordinatesGalacticCenter">Galaktisches Zentrum</button>
+        </div>
+    </section>
+
+    <section class="card astro-conv-panel astro-conv-tab-panel" id="angleTab" role="tabpanel">
+        <h2>Winkel-Umrechner</h2>
+        <p>Umrechnung zwischen Grad, Bogenminute, Bogensekunde und Radiant.</p>
+
+        <div class="astro-conv-grid" id="angleConverter">
+            <div class="astro-conv-field">
+                <label for="angleDeg">Grad (°)</label>
+                <input class="astro-conv-input" id="angleDeg" type="text" inputmode="decimal" value="1">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="angleArcmin">Bogenminute (′)</label>
+                <input class="astro-conv-input" id="angleArcmin" type="text" inputmode="decimal">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="angleArcsec">Bogensekunde (″)</label>
+                <input class="astro-conv-input" id="angleArcsec" type="text" inputmode="decimal">
+            </div>
+
+            <div class="astro-conv-field">
+                <label for="angleRad">Radiant (rad)</label>
+                <input class="astro-conv-input" id="angleRad" type="text" inputmode="decimal">
+            </div>
+        </div>
+
+        <div class="astro-conv-actions">
+            <button type="button" class="btn btn-secondary" id="angleClear">Leeren</button>
+            <button type="button" class="btn btn-primary" id="angleDegree">1 Grad</button>
+            <button type="button" class="btn btn-primary" id="angleArcsecond">1 Bogensekunde</button>
+        </div>
+    </section>
 </div>

 <script src="js/number_to_german_words.js"></script>
@@ -477,11 +558,25 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
        trueSolar: document.getElementById('timeTrueSolar'),
        sidereal: document.getElementById('timeSidereal')
    };
+    const coordinateFields = {
+        ra: document.getElementById('coordRa'),
+        dec: document.getElementById('coordDec'),
+        galLon: document.getElementById('coordGalLon'),
+        galLat: document.getElementById('coordGalLat')
+    };
+    const angleFields = {
+        deg: document.getElementById('angleDeg'),
+        arcmin: document.getElementById('angleArcmin'),
+        arcsec: document.getElementById('angleArcsec'),
+        rad: document.getElementById('angleRad')
+    };
    let isSyncingTimePicker = false;
    let timeUtcPicker = null;
    let distanceRequestId = 0;
    let redshiftRequestId = 0;
    let timeRequestId = 0;
+    let coordinateRequestId = 0;
+    let angleRequestId = 0;

    const DECIMAL_DIVISION_PRECISION = 32;
    const pow10Cache = [1n];
@@ -893,6 +988,18 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
        wireTooltipHover(field);
    });

+    const coordinateFieldEntries = Object.entries(coordinateFields);
+    coordinateFieldEntries.forEach(function ([unit, field]) {
+        attachTooltip(field, 'coordinates-' + unit);
+        wireTooltipHover(field);
+    });
+
+    const angleFieldEntries = Object.entries(angleFields);
+    angleFieldEntries.forEach(function ([unit, field]) {
+        attachTooltip(field, 'angle-' + unit);
+        wireTooltipHover(field);
+    });
+
    const updateDistanceFrom = async function (sourceUnit) {
        const rawValue = distanceFields[sourceUnit].value.trim();
        if (rawValue === '') {
@@ -1339,6 +1446,133 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
        updateTimeFrom('utc');
    });

+    const clearCoordinateGroup = function (keys) {
+        keys.forEach(function (key) {
+            if (coordinateFields[key]) {
+                coordinateFields[key].value = '';
+                updateTooltip(coordinateFields[key]);
+            }
+        });
+    };
+
+    const updateCoordinatesFrom = async function (sourceSystem) {
+        const isEquatorial = sourceSystem === 'equatorial';
+        const firstKey = isEquatorial ? 'ra' : 'galLon';
+        const secondKey = isEquatorial ? 'dec' : 'galLat';
+        const targetKeys = isEquatorial ? ['galLon', 'galLat'] : ['ra', 'dec'];
+        const firstValue = coordinateFields[firstKey].value.trim();
+        const secondValue = coordinateFields[secondKey].value.trim();
+
+        if (firstValue === '' || secondValue === '') {
+            clearCoordinateGroup(targetKeys);
+            return;
+        }
+
+        const requestId = ++coordinateRequestId;
+        try {
+            const result = await requestConversion({
+                kind: 'coordinates',
+                sourceSystem,
+                value1: firstValue,
+                value2: secondValue
+            });
+
+            if (requestId !== coordinateRequestId || !result.valid) {
+                return;
+            }
+
+            setFieldValues(coordinateFields, result.fields || {});
+        } catch (error) {
+            return;
+        }
+    };
+
+    ['ra', 'dec'].forEach(function (key) {
+        coordinateFields[key].addEventListener('input', function () {
+            updateCoordinatesFrom('equatorial');
+        });
+    });
+
+    ['galLon', 'galLat'].forEach(function (key) {
+        coordinateFields[key].addEventListener('input', function () {
+            updateCoordinatesFrom('galactic');
+        });
+    });
+
+    document.getElementById('coordinatesClear').addEventListener('click', function () {
+        Object.values(coordinateFields).forEach(function (field) {
+            field.value = '';
+            updateTooltip(field);
+        });
+        coordinateFields.ra.focus();
+    });
+
+    document.getElementById('coordinatesVega').addEventListener('click', function () {
+        coordinateFields.ra.value = '279,234735';
+        coordinateFields.dec.value = '38,783689';
+        updateCoordinatesFrom('equatorial');
+    });
+
+    document.getElementById('coordinatesGalacticCenter').addEventListener('click', function () {
+        coordinateFields.galLon.value = '0';
+        coordinateFields.galLat.value = '0';
+        updateCoordinatesFrom('galactic');
+    });
+
+    const updateAngleFrom = async function (sourceUnit) {
+        const rawValue = angleFields[sourceUnit].value.trim();
+        if (rawValue === '') {
+            Object.entries(angleFields).forEach(function ([key, field]) {
+                if (key !== sourceUnit) {
+                    field.value = '';
+                    updateTooltip(field);
+                }
+            });
+            return;
+        }
+
+        const requestId = ++angleRequestId;
+        try {
+            const result = await requestConversion({
+                kind: 'angle',
+                sourceUnit,
+                sourceValue: rawValue
+            });
+
+            if (requestId !== angleRequestId || !result.valid) {
+                return;
+            }
+
+            setFieldValues(angleFields, result.fields || {});
+        } catch (error) {
+            return;
+        }
+    };
+
+    angleFieldEntries.forEach(function ([unit, field]) {
+        field.addEventListener('input', function () {
+            updateAngleFrom(unit);
+        });
+    });
+
+    document.getElementById('angleClear').addEventListener('click', function () {
+        Object.values(angleFields).forEach(function (field) {
+            field.value = '';
+            updateTooltip(field);
+        });
+        angleFields.deg.focus();
+    });
+
+    document.getElementById('angleDegree').addEventListener('click', function () {
+        angleFields.deg.value = '1';
+        updateAngleFrom('deg');
+    });
+
+    document.getElementById('angleArcsecond').addEventListener('click', function () {
+        angleFields.arcsec.value = '1';
+        updateAngleFrom('arcsec');
+    });
+
    const tabs = Array.from(document.querySelectorAll('.astro-conv-tab'));
    const tabPanels = Array.from(document.querySelectorAll('.astro-conv-tab-panel'));

@@ -1363,6 +1597,8 @@ $timeLocationLongitude = isset($currentLocation['longitude']) && is_numeric($cur
    updateDistanceFrom('km');
    updateRedshift();
    updateTimeFrom('utc');
+    updateCoordinatesFrom('equatorial');
+    updateAngleFrom('deg');
 })();
 </script>

@@ -241,6 +241,23 @@ def action_astronomical_conversions(args: list[str]) -> dict:
        payload["sourceUnit"] = args[1]
        payload["sourceValue"] = args[2]
        payload["longitude"] = args[3]
+    elif kind == "coordinates":
+        if len(args) != 4:
+            fail(
+                "Aktion astronomical_conversions fuer coordinates erwartet 4 Argumente: kind sourceSystem value1 value2",
+                extra={"argv": args},
+            )
+        payload["sourceSystem"] = args[1]
+        payload["value1"] = args[2]
+        payload["value2"] = args[3]
+    elif kind == "angle":
+        if len(args) != 3:
+            fail(
+                "Aktion astronomical_conversions fuer angle erwartet 3 Argumente: kind sourceUnit sourceValue",
+                extra={"argv": args},
+            )
+        payload["sourceUnit"] = args[1]
+        payload["sourceValue"] = args[2]
    else:
        fail(
            "Unbekannter Umrechnungsbereich fuer astronomical_conversions.",
@@ -55,6 +55,14 @@ REDSHIFT_ORDER = [
    "angularDiameterMpc",
 ]
 TIME_ORDER = ["utc", "ut1", "tai", "jd", "mjd", "unix", "trueSolar", "sidereal"]
+COORDINATE_ORDER = ["ra", "dec", "galLon", "galLat"]
+ANGLE_ORDER = ["deg", "arcmin", "arcsec", "rad"]
+ANGLE_TO_DEGREES = {
+    "deg": Decimal("1"),
+    "arcmin": Decimal("0.01666666666666666666666666667"),
+    "arcsec": Decimal("0.0002777777777777777777777777778"),
+    "rad": DECIMAL_180 / DECIMAL_PI,
+}
 LEAP_SECONDS = [
    ("1972-01-01T00:00:00Z", 10),
    ("1972-07-01T00:00:00Z", 11),
@@ -86,13 +94,26 @@ LEAP_SECONDS = [
    ("2017-01-01T00:00:00Z", 37),
 ]

+EQ_TO_GAL_MATRIX = (
+    (-0.0548755604162154, -0.8734370902348850, -0.4838350155487132),
+    (0.4941094278755837, -0.4448296299600112, 0.7469822444972189),
+    (-0.8676661490190047, -0.1980763734312015, 0.4559837761750669),
+)
+

 def parse_decimal_input(value: str) -> Decimal | None:
    text = str(value or "").strip()
    if text == "":
        return None

-    normalized = text.replace(" ", "").replace(".", "").replace(",", ".")
+    normalized = text.replace(" ", "")
+    if "," in normalized and "." in normalized:
+        if normalized.rfind(",") > normalized.rfind("."):
+            normalized = normalized.replace(".", "").replace(",", ".")
+        else:
+            normalized = normalized.replace(",", "")
+    elif "," in normalized:
+        normalized = normalized.replace(".", "").replace(",", ".")
    if normalized.count(".") > 1:
        return None

@@ -147,6 +168,26 @@ def format_clock(hours_value: float) -> str:
    return f"{hours:02d}:{minutes:02d}:{seconds:02d}"


+def normalize_angle_degrees(value: float) -> float:
+    normalized = math.fmod(value, 360.0)
+    if normalized < 0.0:
+        normalized += 360.0
+    return normalized
+
+
+def transpose_matrix(matrix: tuple[tuple[float, float, float], ...]) -> tuple[tuple[float, float, float], ...]:
+    return tuple(tuple(matrix[row][column] for row in range(3)) for column in range(3))
+
+
+def multiply_matrix_vector(
+    matrix: tuple[tuple[float, float, float], ...], vector: tuple[float, float, float]
+) -> tuple[float, float, float]:
+    return tuple(sum(matrix_row[index] * vector[index] for index in range(3)) for matrix_row in matrix)
+
+
+GAL_TO_EQ_MATRIX = transpose_matrix(EQ_TO_GAL_MATRIX)
+
+
 def leap_seconds_for_utc(dt_utc: datetime) -> int:
    count = 0
    for effective_iso, total_offset in LEAP_SECONDS:
@@ -244,6 +285,27 @@ def adaptive_simpson(fn, start: float, end: float, epsilon: float = 1e-10, max_d
    return recurse(start, end, epsilon, whole, left_value, middle_value, right_value, max_depth)


+def spherical_to_cartesian(longitude_deg: float, latitude_deg: float) -> tuple[float, float, float]:
+    longitude_rad = math.radians(longitude_deg)
+    latitude_rad = math.radians(latitude_deg)
+    cos_latitude = math.cos(latitude_rad)
+    return (
+        cos_latitude * math.cos(longitude_rad),
+        cos_latitude * math.sin(longitude_rad),
+        math.sin(latitude_rad),
+    )
+
+
+def cartesian_to_spherical(x: float, y: float, z: float) -> tuple[float, float]:
+    radius = math.sqrt((x * x) + (y * y) + (z * z))
+    if radius == 0.0:
+        raise ValueError("Koordinatenvektor darf nicht null sein.")
+
+    longitude_deg = normalize_angle_degrees(math.degrees(math.atan2(y, x)))
+    latitude_deg = math.degrees(math.asin(max(-1.0, min(1.0, z / radius))))
+    return longitude_deg, latitude_deg
+
+
 def convert_distance(payload: dict) -> dict:
    source_unit = str(payload.get("sourceUnit") or "").strip().lower()
    source_value = parse_decimal_input(payload.get("sourceValue", ""))
@@ -352,23 +414,26 @@ def convert_time(payload: dict) -> dict:
        "sidereal": "",
    }

+    leap_seconds = leap_seconds_for_utc(dt_utc)
+    ut1_fallback = format_german_datetime(dt_utc) + " (nahezu UTC)"
+    tai_fallback = format_german_datetime(dt_utc + timedelta(seconds=leap_seconds))
+
    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"
+            fields["ut1"] = ut1_fallback

        try:
            tai_datetime = astropy_time.tai.to_datetime(timezone=timezone.utc)
            fields["tai"] = format_german_datetime(tai_datetime)
        except Exception:
-            fields["tai"] = "Nicht verfuegbar"
+            fields["tai"] = tai_fallback
    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))
+        fields["ut1"] = ut1_fallback
+        fields["tai"] = tai_fallback

    if longitude_value is not None and math.isfinite(longitude_value):
        observer = astronomy.Observer(0.0, longitude_value, 0.0)
@@ -393,6 +458,57 @@ def convert_time(payload: dict) -> dict:
    return {"valid": True, "fields": fields}


+def convert_coordinates(payload: dict) -> dict:
+    source_system = str(payload.get("sourceSystem") or "").strip().lower()
+    first_value = parse_decimal_input(payload.get("value1", ""))
+    second_value = parse_decimal_input(payload.get("value2", ""))
+
+    if first_value is None or second_value is None:
+        return {"valid": False, "fields": {key: "" for key in COORDINATE_ORDER}}
+
+    longitude = float(first_value)
+    latitude = float(second_value)
+    if not math.isfinite(longitude) or not math.isfinite(latitude) or latitude < -90.0 or latitude > 90.0:
+        return {"valid": False, "fields": {key: "" for key in COORDINATE_ORDER}}
+
+    if source_system == "equatorial":
+        equatorial_vector = spherical_to_cartesian(normalize_angle_degrees(longitude), latitude)
+        galactic_vector = multiply_matrix_vector(EQ_TO_GAL_MATRIX, equatorial_vector)
+        ra_deg, dec_deg = cartesian_to_spherical(*equatorial_vector)
+        gal_lon_deg, gal_lat_deg = cartesian_to_spherical(*galactic_vector)
+    elif source_system == "galactic":
+        galactic_vector = spherical_to_cartesian(normalize_angle_degrees(longitude), latitude)
+        equatorial_vector = multiply_matrix_vector(GAL_TO_EQ_MATRIX, galactic_vector)
+        gal_lon_deg, gal_lat_deg = cartesian_to_spherical(*galactic_vector)
+        ra_deg, dec_deg = cartesian_to_spherical(*equatorial_vector)
+    else:
+        raise ValueError("Unbekanntes Koordinatensystem.")
+
+    fields = {
+        "ra": format_decimal_german(ra_deg, max_fraction_digits=6),
+        "dec": format_decimal_german(dec_deg, max_fraction_digits=6),
+        "galLon": format_decimal_german(gal_lon_deg, max_fraction_digits=6),
+        "galLat": format_decimal_german(gal_lat_deg, max_fraction_digits=6),
+    }
+    return {"valid": True, "fields": fields}
+
+
+def convert_angle(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 ANGLE_TO_DEGREES or source_value is None:
+        return {"valid": False, "fields": {key: "" for key in ANGLE_ORDER}}
+
+    value_in_degrees = source_value * ANGLE_TO_DEGREES[source_unit]
+    fields: dict[str, str] = {}
+    for unit in ANGLE_ORDER:
+        converted = value_in_degrees / ANGLE_TO_DEGREES[unit]
+        fields[unit] = format_decimal_german(converted, max_fraction_digits=12)
+
+    return {"valid": True, "fields": fields}
+
+
 def handle_request(payload: dict) -> dict:
    kind = str(payload.get("kind") or "").strip().lower()
    if kind == "distance":
@@ -401,6 +517,10 @@ def handle_request(payload: dict) -> dict:
        result = convert_redshift(payload)
    elif kind == "time":
        result = convert_time(payload)
+    elif kind == "coordinates":
+        result = convert_coordinates(payload)
+    elif kind == "angle":
+        result = convert_angle(payload)
    else:
        raise ValueError("Unbekannter Umrechnungsbereich.")

@@ -1,7 +1,7 @@
@echo off
 setlocal

-set "REPO_DIR=%~dp0.."
+set "REPO_DIR=%~dp0"
 set "SERVER_URL=http://127.0.0.1:8000/"

 cd /d "%REPO_DIR%"