{"id":"vidhyamitra:city-day:vrindavan:2175-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2175-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-12-20","date_display":"December 20, 2175 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":2175,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515815.770833,"kali_year":5277,"ahargana":1927350.2708,"sun":{"sidereal_longitude":240.8854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.2208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3353,"elapsed_within_tithi_degrees":9.3353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2208,"elapsed_within_degrees":2.2208},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1062},"karana":{"half_tithi_index":13,"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":2175,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515815.770833,"ahargana":1927350.2708,"kali_year":5277,"ayanamsa_lahiri":26.3111,"grahas":{"sun":{"sidereal_longitude":241.67019400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":320.291794,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":1.7215},"mars":{"sidereal_longitude":189.951194,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":223.649494,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":295.02439400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":209.23609399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":5.690793999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":299.7076,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.7076,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2175,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515815.770833,"kali_year":5277,"ahargana":1927350.2708,"sun":{"sidereal_longitude":240.8854,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.2208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3353,"elapsed_within_tithi_degrees":9.3353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2208,"elapsed_within_degrees":2.2208},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.1062},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.722,"elongation":81.335},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.722,"opposition_distance":98.665}},"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":"07:06","sunsetLocal":"17:29","solarNoonLocal":"12:18","dayLengthHours":10.397359609466271,"dayLengthDisplay":"10 Hours 23 Mins 50 Secs","nightLengthDisplay":"13 Hours 36 Mins 10 Secs","moonriseLocal":"11:40","moonsetLocal":"23:24","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.59151799247547,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:24","end":"09:42","startHours":8.392838187742335,"endHours":9.69250813892562,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:18","startHours":10.992178090108904,"endHours":12.291848041292187,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519218812101181,"endHours":9.865797465750058,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.5263915536201464,"endHours":7.803654476539247,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945269387643311,"endHours":12.638426694941064,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.706853621963549,"endHours":6.400010929261301,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.226721602436863,"endHours":7.093168236559052,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024741309536566,"endHours":14.717898616834317,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290527846025324,"endHours":17.690527846025322,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.490527846025323,"endHours":17.92375116308642,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240527846025323,"endHours":18.990527846025323,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.94526938764331,"endHours":24.638426694941064,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:06","end":"08:24","startHours":7.093168236559052,"endHours":8.392838187742335,"quality":"auspicious"},{"name":"Amṛta","start":"08:24","end":"09:42","startHours":8.392838187742335,"endHours":9.69250813892562,"quality":"auspicious"},{"name":"Kāla","start":"09:42","end":"11:00","startHours":9.69250813892562,"endHours":10.992178090108904,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:18","startHours":10.992178090108904,"endHours":12.291848041292187,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.59151799247547,"quality":"inauspicious"},{"name":"Udveg","start":"13:35","end":"14:53","startHours":13.59151799247547,"endHours":14.891187943658755,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:11","startHours":14.891187943658755,"endHours":16.19085789484204,"quality":"neutral"},{"name":"Labha","start":"16:11","end":"17:29","startHours":16.19085789484204,"endHours":17.490527846025323,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:11","startHours":17.490527846025323,"endHours":19.19085789484204,"quality":"inauspicious"},{"name":"Chala","start":"19:11","end":"20:53","startHours":19.19085789484204,"endHours":20.891187943658757,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:35","startHours":20.891187943658757,"endHours":22.59151799247547,"quality":"auspicious"},{"name":"Amṛta","start":"22:35","end":"00:18","startHours":22.59151799247547,"endHours":24.291848041292187,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.992178090108904,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:42","startHours":25.992178090108904,"endHours":27.692508138925618,"quality":"auspicious"},{"name":"Roga","start":"03:42","end":"05:24","startHours":27.692508138925618,"endHours":29.392838187742335,"quality":"inauspicious"},{"name":"Udveg","start":"05:24","end":"07:06","startHours":29.392838187742335,"endHours":31.093168236559052,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093168236559052,"endHours":8.093168236559052,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093168236559052,"endHours":9.093168236559052,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093168236559052,"endHours":10.093168236559052,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093168236559052,"endHours":11.093168236559052,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093168236559052,"endHours":12.093168236559052,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093168236559052,"endHours":13.093168236559052,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093168236559052,"endHours":14.093168236559052,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093168236559052,"endHours":15.093168236559052,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093168236559052,"endHours":16.093168236559052,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.093168236559052,"endHours":17.093168236559052,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.093168236559052,"endHours":18.093168236559052,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.093168236559052,"endHours":19.093168236559052,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.093168236559052,"endHours":20.093168236559052,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.093168236559052,"endHours":21.093168236559052,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.093168236559052,"endHours":22.093168236559052,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.093168236559052,"endHours":23.093168236559052,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.093168236559052,"endHours":24.093168236559052,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.093168236559052,"endHours":25.093168236559052,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.093168236559052,"endHours":26.093168236559052,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.093168236559052,"endHours":27.093168236559052,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.093168236559052,"endHours":28.093168236559052,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.093168236559052,"endHours":29.093168236559052,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.093168236559052,"endHours":30.093168236559052,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.093168236559052,"endHours":31.093168236559052,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","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":-23.42108627668609,"eotMinutes":1.851917522468745,"ayanamsa":26.3111}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"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 Saptamī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"festivals":[],"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":"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 20, 2175 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2175 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2175-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2175-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2175-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2175-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2175-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:05:22.393Z","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":"2026-05-31T03:05:22.393Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:05:22.393Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}