{"id":"vidhyamitra:city-day:jamnagar:2180-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/jamnagar/2180-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2180-12-20","date_display":"December 20, 2180 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2180,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517642.770833,"kali_year":5282,"ahargana":1929177.2708,"sun":{"sidereal_longitude":241.6104,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":283.5359,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.9255,"elapsed_within_tithi_degrees":5.9255},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5359,"elapsed_within_degrees":3.5359},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.1462},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2180,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517642.770833,"ahargana":1929177.2708,"kali_year":5282,"ayanamsa_lahiri":26.381,"grahas":{"sun":{"sidereal_longitude":242.40058999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":285.96869000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":4.4399},"mars":{"sidereal_longitude":51.488789999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.29949,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":113.57968999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":228.62288999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":80.19119,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":202.9043,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.9043,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2180,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517642.770833,"kali_year":5282,"ahargana":1929177.2708,"sun":{"sidereal_longitude":241.6104,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":283.5359,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.9255,"elapsed_within_tithi_degrees":5.9255},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5359,"elapsed_within_degrees":3.5359},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.1462},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.44,"elongation":41.926},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.44,"opposition_distance":138.074}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-1.399,"opposition_distance":1.186}]},"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"sunriseLocal":"07:25","sunsetLocal":"18:11","solarNoonLocal":"12:48","dayLengthHours":10.756117738745296,"dayLengthDisplay":"10 Hours 45 Mins 22 Secs","nightLengthDisplay":"13 Hours 14 Mins 38 Secs","moonriseLocal":"10:09","moonsetLocal":"21:16","rahuKala":{"name":"Rāhu Kāla","start":"12:48","end":"14:09","startHours":12.798621374625522,"endHours":14.143136091968685,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:46","end":"10:07","startHours":8.765077222596037,"endHours":10.109591939939198,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:27","end":"12:48","startHours":11.45410665728236,"endHours":12.798621374625522,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:17","startHours":9.93032331096011,"endHours":10.288860568918286,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:52","end":"08:09","startHours":7.868734077700595,"endHours":8.155563884067137,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:26","end":"13:09","startHours":12.440084116667347,"endHours":13.157158632583698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:59","end":"06:42","startHours":5.986413473420169,"endHours":6.703487989336521,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:31","end":"07:25","startHours":6.524219360357433,"endHours":7.4205625052528745,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:19","startHours":14.591307664416405,"endHours":15.308382180332758,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.97668024399817,"endHours":18.37668024399817,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:37","startHours":18.17668024399817,"endHours":18.62485181644589,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.92668024399817,"endHours":19.67668024399817,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:26","end":"01:09","startHours":24.440084116667347,"endHours":25.157158632583698,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:25","end":"08:46","startHours":7.4205625052528745,"endHours":8.765077222596037,"quality":"auspicious"},{"name":"Amṛta","start":"08:46","end":"10:07","startHours":8.765077222596037,"endHours":10.109591939939198,"quality":"auspicious"},{"name":"Kāla","start":"10:07","end":"11:27","startHours":10.109591939939198,"endHours":11.45410665728236,"quality":"inauspicious"},{"name":"Śubha","start":"11:27","end":"12:48","startHours":11.45410665728236,"endHours":12.798621374625522,"quality":"auspicious"},{"name":"Roga","start":"12:48","end":"14:09","startHours":12.798621374625522,"endHours":14.143136091968685,"quality":"inauspicious"},{"name":"Udveg","start":"14:09","end":"15:29","startHours":14.143136091968685,"endHours":15.487650809311846,"quality":"inauspicious"},{"name":"Chala","start":"15:29","end":"16:50","startHours":15.487650809311846,"endHours":16.832165526655007,"quality":"neutral"},{"name":"Labha","start":"16:50","end":"18:11","startHours":16.832165526655007,"endHours":18.17668024399817,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:11","end":"19:50","startHours":18.17668024399817,"endHours":19.832165526655007,"quality":"inauspicious"},{"name":"Chala","start":"19:50","end":"21:29","startHours":19.832165526655007,"endHours":21.487650809311845,"quality":"neutral"},{"name":"Labha","start":"21:29","end":"23:09","startHours":21.487650809311845,"endHours":23.143136091968685,"quality":"auspicious"},{"name":"Amṛta","start":"23:09","end":"00:48","startHours":23.143136091968685,"endHours":24.798621374625522,"quality":"auspicious"},{"name":"Kāla","start":"00:48","end":"02:27","startHours":24.798621374625522,"endHours":26.45410665728236,"quality":"inauspicious"},{"name":"Śubha","start":"02:27","end":"04:07","startHours":26.45410665728236,"endHours":28.1095919399392,"quality":"auspicious"},{"name":"Roga","start":"04:07","end":"05:46","startHours":28.1095919399392,"endHours":29.765077222596037,"quality":"inauspicious"},{"name":"Udveg","start":"05:46","end":"07:25","startHours":29.765077222596037,"endHours":31.420562505252875,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:25","end":"08:25","startHours":7.4205625052528745,"endHours":8.420562505252875,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:25","end":"09:25","startHours":8.420562505252875,"endHours":9.420562505252875,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:25","end":"10:25","startHours":9.420562505252875,"endHours":10.420562505252875,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:25","end":"11:25","startHours":10.420562505252875,"endHours":11.420562505252875,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:25","end":"12:25","startHours":11.420562505252875,"endHours":12.420562505252875,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:25","end":"13:25","startHours":12.420562505252875,"endHours":13.420562505252875,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:25","end":"14:25","startHours":13.420562505252875,"endHours":14.420562505252875,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:25","end":"15:25","startHours":14.420562505252875,"endHours":15.420562505252875,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:25","end":"16:25","startHours":15.420562505252875,"endHours":16.420562505252875,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:25","end":"17:25","startHours":16.420562505252875,"endHours":17.420562505252875,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:25","end":"18:25","startHours":17.420562505252875,"endHours":18.420562505252875,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:25","end":"19:25","startHours":18.420562505252875,"endHours":19.420562505252875,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:25","end":"20:25","startHours":19.420562505252875,"endHours":20.420562505252875,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:25","end":"21:25","startHours":20.420562505252875,"endHours":21.420562505252875,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:25","end":"22:25","startHours":21.420562505252875,"endHours":22.420562505252875,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:25","end":"23:25","startHours":22.420562505252875,"endHours":23.420562505252875,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:25","end":"00:25","startHours":23.420562505252875,"endHours":24.420562505252875,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:25","end":"01:25","startHours":24.420562505252875,"endHours":25.420562505252875,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:25","end":"02:25","startHours":25.420562505252875,"endHours":26.420562505252875,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:25","end":"03:25","startHours":26.420562505252875,"endHours":27.420562505252875,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:25","end":"04:25","startHours":27.420562505252875,"endHours":28.420562505252875,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:25","end":"05:25","startHours":28.420562505252875,"endHours":29.420562505252875,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:25","end":"06:25","startHours":29.420562505252875,"endHours":30.420562505252875,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:25","end":"07:25","startHours":30.420562505252875,"endHours":31.420562505252875,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.430884441264027,"eotMinutes":1.851917522468745,"ayanamsa":26.381}},"calendars":{"vikram_samvat":2237,"vikram_samvatsara":"Vijaya","saka_samvat":2102,"saka_samvatsara":"Vikrama","bengali_samvat":1587,"malayalam_era":1356,"nanakshahi_year":711,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2237 Vijaya · Śaka 2102 Vikrama"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"jamnagar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 2180 CE · Jamnagar, Gujarat · Vidhyamitra","description":"December 20, 2180 CE for Jamnagar, Gujarat: Śukla Caturthī, sūryodaya 07:25, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/jamnagar/2180-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/jamnagar/2180-12-20","sa":"https://sa.vidhyamitra.com/city/jamnagar/2180-12-20","hi":"https://hi.vidhyamitra.com/city/jamnagar/2180-12-20","x-default":"https://vidhyamitra.com/city/jamnagar/2180-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:03:02.378Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-03T02:03:02.378Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:03:02.378Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}