{"id":"vidhyamitra:city-day:vrindavan:2102-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2102-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-12-31","date_display":"December 31, 2102 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":2102,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489163.770833,"kali_year":5204,"ahargana":1900698.2708,"sun":{"sidereal_longitude":253.1001,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":148.3901,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.29,"elapsed_within_tithi_degrees":3.29},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.3901,"elapsed_within_degrees":1.7234},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.4902},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2102,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489163.770833,"ahargana":1900698.2708,"kali_year":5204,"ayanamsa_lahiri":25.2918,"grahas":{"sun":{"sidereal_longitude":253.6040969999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":144.966097,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-3.7527},"mars":{"sidereal_longitude":240.73479700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":235.08939699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":250.47249699999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":274.80099700000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":211.71319700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.8588,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.8588,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2102,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489163.770833,"kali_year":5204,"ahargana":1900698.2708,"sun":{"sidereal_longitude":253.1001,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":148.3901,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.29,"elapsed_within_tithi_degrees":3.29},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.3901,"elapsed_within_degrees":1.7234},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.4902},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.753,"elongation":104.71},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.753,"opposition_distance":75.29}},"eclipse_window_40days":[{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631}]},"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":"07:10","sunsetLocal":"17:35","solarNoonLocal":"12:23","dayLengthHours":10.420924054629005,"dayLengthDisplay":"10 Hours 25 Mins 15 Secs","nightLengthDisplay":"13 Hours 34 Mins 45 Secs","moonriseLocal":"22:57","moonsetLocal":"11:19","rahuKala":{"name":"Rāhu Kāla","start":"16:17","end":"17:35","startHours":16.284830435882633,"endHours":17.58744594271126,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"13:41","startHours":12.376983915396757,"endHours":13.679599422225383,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:17","startHours":14.98221492905401,"endHours":16.284830435882633,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.598070834162357,"endHours":9.945434969316656,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.60072705702513,"endHours":7.87861836514857,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.029619780242456,"endHours":12.724348050551058,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.777065347465054,"endHours":6.471793617773655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.298111550196505,"endHours":7.166521888082255,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.113804591168257,"endHours":14.808532861476857,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38744594271126,"endHours":17.78744594271126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.58744594271126,"endHours":18.021651111654133,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33744594271126,"endHours":19.08744594271126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.029619780242456,"endHours":24.724348050551058,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:10","end":"08:28","startHours":7.166521888082255,"endHours":8.46913739491088,"quality":"inauspicious"},{"name":"Chala","start":"08:28","end":"09:46","startHours":8.46913739491088,"endHours":9.771752901739507,"quality":"neutral"},{"name":"Labha","start":"09:46","end":"11:04","startHours":9.771752901739507,"endHours":11.074368408568132,"quality":"auspicious"},{"name":"Amṛta","start":"11:04","end":"12:23","startHours":11.074368408568132,"endHours":12.376983915396757,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"13:41","startHours":12.376983915396757,"endHours":13.679599422225383,"quality":"inauspicious"},{"name":"Śubha","start":"13:41","end":"14:59","startHours":13.679599422225383,"endHours":14.98221492905401,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:17","startHours":14.98221492905401,"endHours":16.284830435882633,"quality":"inauspicious"},{"name":"Udveg","start":"16:17","end":"17:35","startHours":16.284830435882633,"endHours":17.58744594271126,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:35","end":"19:17","startHours":17.58744594271126,"endHours":19.284830435882633,"quality":"auspicious"},{"name":"Roga","start":"19:17","end":"20:59","startHours":19.284830435882633,"endHours":20.98221492905401,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:41","startHours":20.98221492905401,"endHours":22.679599422225383,"quality":"inauspicious"},{"name":"Chala","start":"22:41","end":"00:23","startHours":22.679599422225383,"endHours":24.376983915396757,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"02:04","startHours":24.376983915396757,"endHours":26.07436840856813,"quality":"auspicious"},{"name":"Amṛta","start":"02:04","end":"03:46","startHours":26.07436840856813,"endHours":27.771752901739504,"quality":"auspicious"},{"name":"Kāla","start":"03:46","end":"05:28","startHours":27.771752901739504,"endHours":29.46913739491088,"quality":"inauspicious"},{"name":"Śubha","start":"05:28","end":"07:10","startHours":29.46913739491088,"endHours":31.166521888082254,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.166521888082255,"endHours":8.166521888082254,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.166521888082254,"endHours":9.166521888082254,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.166521888082254,"endHours":10.166521888082254,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.166521888082254,"endHours":11.166521888082254,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.166521888082254,"endHours":12.166521888082254,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.166521888082254,"endHours":13.166521888082254,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.166521888082254,"endHours":14.166521888082254,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.166521888082254,"endHours":15.166521888082254,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.166521888082254,"endHours":16.166521888082254,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.166521888082254,"endHours":17.166521888082254,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.166521888082254,"endHours":18.166521888082254,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.166521888082254,"endHours":19.166521888082254,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.166521888082254,"endHours":20.166521888082254,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.166521888082254,"endHours":21.166521888082254,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.166521888082254,"endHours":22.166521888082254,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.166521888082254,"endHours":23.166521888082254,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.166521888082254,"endHours":24.166521888082254,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.166521888082254,"endHours":25.166521888082254,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.166521888082254,"endHours":26.166521888082254,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.166521888082254,"endHours":27.166521888082254,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.166521888082254,"endHours":28.166521888082254,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.166521888082254,"endHours":29.166521888082254,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.166521888082254,"endHours":30.166521888082254,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.166521888082254,"endHours":31.166521888082254,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.138064513742986,"eotMinutes":-3.2562349238053434,"ayanamsa":25.2918}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 31, 2102 CE · Vṛndāvana · Vidhyamitra","description":"December 31, 2102 CE for Vṛndāvana: Kṛṣṇa Saptamī, sūryodaya 07:10, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2102-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2102-12-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2102-12-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2102-12-31","x-default":"https://vidhyamitra.com/city/vrindavan/2102-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:09:06.533Z","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":"2026-05-31T20:09:06.533Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:09:06.533Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}