{"id":"vidhyamitra:city-day:vrindavan:2101-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-12-13","date_display":"December 13, 2101 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":2101,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488780.770833,"kali_year":5203,"ahargana":1900315.2708,"sun":{"sidereal_longitude":234.8832,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":139.6369,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.7537,"elapsed_within_tithi_degrees":0.7537},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":139.6369,"elapsed_within_degrees":6.3036},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.5201},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2101,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488780.770833,"ahargana":1900315.2708,"kali_year":5203,"ayanamsa_lahiri":25.2771,"grahas":{"sun":{"sidereal_longitude":235.54282999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":136.15723000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-2.0751},"mars":{"sidereal_longitude":52.130330000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":252.51463,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":221.68493,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":239.09862999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":199.41633000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":292.152,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":112.152,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":2101,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488780.770833,"kali_year":5203,"ahargana":1900315.2708,"sun":{"sidereal_longitude":234.8832,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":139.6369,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":264.7537,"elapsed_within_tithi_degrees":0.7537},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":139.6369,"elapsed_within_degrees":6.3036},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.5201},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.075,"elongation":95.246},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.075,"opposition_distance":84.754}},"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":10.422527464505638,"dayLengthDisplay":"10 Hours 25 Mins 21 Secs","nightLengthDisplay":"13 Hours 34 Mins 39 Secs","moonriseLocal":"23:19","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:09","startHours":14.843501028636108,"endHours":16.146316961699313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:38","end":"10:56","startHours":9.63223729638329,"endHours":10.935053229446494,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:32","startHours":12.2378691625097,"endHours":13.540685095572904,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458528505308195,"endHours":9.805946087458384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.460877407944615,"endHours":7.738811473664765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.89045158035951,"endHours":12.585286744659886,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.636935101656128,"endHours":6.331770265956504,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:02","startHours":6.15806147488141,"endHours":7.02660543025688,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974957073260638,"endHours":14.669792237561014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.249132894762518,"endHours":17.649132894762516,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.449132894762517,"endHours":17.883404872450253,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.199132894762517,"endHours":18.949132894762517,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.890451580359507,"endHours":24.585286744659886,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:02","end":"08:20","startHours":7.02660543025688,"endHours":8.329421363320085,"quality":"inauspicious"},{"name":"Udveg","start":"08:20","end":"09:38","startHours":8.329421363320085,"endHours":9.63223729638329,"quality":"inauspicious"},{"name":"Chala","start":"09:38","end":"10:56","startHours":9.63223729638329,"endHours":10.935053229446494,"quality":"neutral"},{"name":"Labha","start":"10:56","end":"12:14","startHours":10.935053229446494,"endHours":12.2378691625097,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:32","startHours":12.2378691625097,"endHours":13.540685095572904,"quality":"auspicious"},{"name":"Kāla","start":"13:32","end":"14:51","startHours":13.540685095572904,"endHours":14.843501028636108,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:09","startHours":14.843501028636108,"endHours":16.146316961699313,"quality":"auspicious"},{"name":"Roga","start":"16:09","end":"17:27","startHours":16.146316961699313,"endHours":17.449132894762517,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:09","startHours":17.449132894762517,"endHours":19.146316961699313,"quality":"inauspicious"},{"name":"Śubha","start":"19:09","end":"20:51","startHours":19.146316961699313,"endHours":20.84350102863611,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:32","startHours":20.84350102863611,"endHours":22.540685095572904,"quality":"inauspicious"},{"name":"Udveg","start":"22:32","end":"00:14","startHours":22.540685095572904,"endHours":24.237869162509696,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.935053229446495,"quality":"neutral"},{"name":"Labha","start":"01:56","end":"03:38","startHours":25.935053229446495,"endHours":27.632237296383288,"quality":"auspicious"},{"name":"Amṛta","start":"03:38","end":"05:20","startHours":27.632237296383288,"endHours":29.329421363320083,"quality":"auspicious"},{"name":"Kāla","start":"05:20","end":"07:02","startHours":29.329421363320083,"endHours":31.02660543025688,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.02660543025688,"endHours":8.026605430256879,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.026605430256879,"endHours":9.026605430256879,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.026605430256879,"endHours":10.026605430256879,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.026605430256879,"endHours":11.026605430256879,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.026605430256879,"endHours":12.026605430256879,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.026605430256879,"endHours":13.026605430256879,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.026605430256879,"endHours":14.026605430256879,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.026605430256879,"endHours":15.026605430256879,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.026605430256879,"endHours":16.02660543025688,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.02660543025688,"endHours":17.02660543025688,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.02660543025688,"endHours":18.02660543025688,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.02660543025688,"endHours":19.02660543025688,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.02660543025688,"endHours":20.02660543025688,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.02660543025688,"endHours":21.02660543025688,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.02660543025688,"endHours":22.02660543025688,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.02660543025688,"endHours":23.02660543025688,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.02660543025688,"endHours":24.02660543025688,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.02660543025688,"endHours":25.02660543025688,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.02660543025688,"endHours":26.02660543025688,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.02660543025688,"endHours":27.02660543025688,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.02660543025688,"endHours":28.02660543025688,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.02660543025688,"endHours":29.02660543025688,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.02660543025688,"endHours":30.02660543025688,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.02660543025688,"endHours":31.02660543025688,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.118757810797568,"eotMinutes":5.090650249418121,"ayanamsa":25.2771}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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, 2101 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 2101 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/2101-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:26:26.650Z","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":"2026-06-02T03:26:26.650Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:26:26.650Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}