{"id":"vidhyamitra:city-day:vrindavan:2173-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2173-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2173-12-13","date_display":"December 13, 2173 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":2173,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515078.770833,"kali_year":5275,"ahargana":1926613.2708,"sun":{"sidereal_longitude":234.2371,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":337.4198,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1827,"elapsed_within_tithi_degrees":7.1827},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4198,"elapsed_within_degrees":4.0865},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.6569},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2173,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515078.770833,"ahargana":1926613.2708,"kali_year":5275,"ayanamsa_lahiri":26.2829,"grahas":{"sun":{"sidereal_longitude":235.07365299999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":339.748853,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-0.1049},"mars":{"sidereal_longitude":171.91675299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":247.85765300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":240.41855299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":205.34185300000001,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":339.097353,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":338.7574,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.7574,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"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":2173,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515078.770833,"kali_year":5275,"ahargana":1926613.2708,"sun":{"sidereal_longitude":234.2371,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":337.4198,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":103.1827,"elapsed_within_tithi_degrees":7.1827},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.4198,"elapsed_within_degrees":4.0865},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.6569},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.105,"elongation":103.183},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.105,"opposition_distance":76.817}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.419540988217317,"dayLengthDisplay":"10 Hours 25 Mins 10 Secs","nightLengthDisplay":"13 Hours 34 Mins 50 Secs","moonriseLocal":"13:05","moonsetLocal":"01:21","rahuKala":{"name":"Rāhu Kāla","start":"08:20","end":"09:38","startHours":8.330541291928203,"endHours":9.632983915455368,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"12:14","startHours":10.935426538982533,"endHours":12.237869162509696,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"14:51","startHours":13.540311786036863,"endHours":14.842754409564026,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.459324898985079,"endHours":9.806642931925657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.46224620957676,"endHours":7.740100635929221,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.89055112956912,"endHours":12.585187195450276,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.63882653663873,"endHours":6.333462602519884,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.159803586049596,"endHours":7.0280986684010385,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974459327212582,"endHours":14.669095393093736,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.247639656618357,"endHours":17.647639656618356,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.447639656618357,"endHours":17.88178719779408,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.197639656618357,"endHours":18.947639656618357,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.89055112956912,"endHours":24.585187195450274,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:02","end":"08:20","startHours":7.0280986684010385,"endHours":8.330541291928203,"quality":"auspicious"},{"name":"Kāla","start":"08:20","end":"09:38","startHours":8.330541291928203,"endHours":9.632983915455368,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"10:56","startHours":9.632983915455368,"endHours":10.935426538982533,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"12:14","startHours":10.935426538982533,"endHours":12.237869162509696,"quality":"inauspicious"},{"name":"Udveg","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.540311786036863,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"14:51","startHours":13.540311786036863,"endHours":14.842754409564026,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:09","startHours":14.842754409564026,"endHours":16.14519703309119,"quality":"auspicious"},{"name":"Amṛta","start":"16:09","end":"17:27","startHours":16.14519703309119,"endHours":17.447639656618357,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:27","end":"19:09","startHours":17.447639656618357,"endHours":19.145197033091193,"quality":"neutral"},{"name":"Labha","start":"19:09","end":"20:51","startHours":19.145197033091193,"endHours":20.842754409564026,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:32","startHours":20.842754409564026,"endHours":22.540311786036863,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:14","startHours":22.540311786036863,"endHours":24.237869162509696,"quality":"inauspicious"},{"name":"Śubha","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.935426538982533,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:38","startHours":25.935426538982533,"endHours":27.63298391545537,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:20","startHours":27.63298391545537,"endHours":29.330541291928206,"quality":"inauspicious"},{"name":"Chala","start":"05:20","end":"07:02","startHours":29.330541291928206,"endHours":31.02809866840104,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.0280986684010385,"endHours":8.02809866840104,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.02809866840104,"endHours":9.02809866840104,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.02809866840104,"endHours":10.02809866840104,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.02809866840104,"endHours":11.02809866840104,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.02809866840104,"endHours":12.02809866840104,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.02809866840104,"endHours":13.02809866840104,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.02809866840104,"endHours":14.02809866840104,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.02809866840104,"endHours":15.02809866840104,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.02809866840104,"endHours":16.02809866840104,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.02809866840104,"endHours":17.02809866840104,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.02809866840104,"endHours":18.02809866840104,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.02809866840104,"endHours":19.02809866840104,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.02809866840104,"endHours":20.02809866840104,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.02809866840104,"endHours":21.02809866840104,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.02809866840104,"endHours":22.02809866840104,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.02809866840104,"endHours":23.02809866840104,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.02809866840104,"endHours":24.02809866840104,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.02809866840104,"endHours":25.02809866840104,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.02809866840104,"endHours":26.02809866840104,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.02809866840104,"endHours":27.02809866840104,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.02809866840104,"endHours":28.02809866840104,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.02809866840104,"endHours":29.02809866840104,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.02809866840104,"endHours":30.02809866840104,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.02809866840104,"endHours":31.02809866840104,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.154713060311522,"eotMinutes":5.090650249418121,"ayanamsa":26.2829}},"calendars":{"vikram_samvat":2230,"vikram_samvatsara":"Vyaya","saka_samvat":2095,"saka_samvatsara":"Śrīmukha","bengali_samvat":1580,"malayalam_era":1349,"nanakshahi_year":704,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Navamī · Vikram 2230 Vyaya · Śaka 2095 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2173 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 2173 CE for Vṛndāvana: Śukla Navamī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2173-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2173-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2173-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2173-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/2173-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:56:19.341Z","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":"2026-06-01T18:56:19.341Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:56:19.341Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}