{"id":"vidhyamitra:city-day:vrindavan:2175-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2175-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-12-04","date_display":"December 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515799.770833,"kali_year":5277,"ahargana":1927334.2708,"sun":{"sidereal_longitude":224.5002,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":119.6821,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.1819,"elapsed_within_tithi_degrees":3.1819},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.6821,"elapsed_within_degrees":13.0154},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1823},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2175,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515799.770833,"ahargana":1927334.2708,"kali_year":5277,"ayanamsa_lahiri":26.3105,"grahas":{"sun":{"sidereal_longitude":225.42010600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":122.777806,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":0.0685},"mars":{"sidereal_longitude":179.85670600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":239.59830599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":292.3545059999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":189.505806,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":6.3460059999999885,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":300.5553,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.5553,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515799.770833,"kali_year":5277,"ahargana":1927334.2708,"sun":{"sidereal_longitude":224.5002,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":119.6821,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.1819,"elapsed_within_tithi_degrees":3.1819},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.6821,"elapsed_within_degrees":13.0154},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1823},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.069,"elongation":104.818},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.069,"opposition_distance":75.182}},"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":"06:55","sunsetLocal":"17:25","solarNoonLocal":"12:10","dayLengthHours":10.499039273188375,"dayLengthDisplay":"10 Hours 29 Mins 57 Secs","nightLengthDisplay":"13 Hours 30 Mins 03 Secs","moonriseLocal":"22:52","moonsetLocal":"11:48","rahuKala":{"name":"Rāhu Kāla","start":"08:14","end":"09:33","startHours":8.236226530319305,"endHours":9.548606439467852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:52","end":"12:10","startHours":10.8609863486164,"endHours":12.173366257764947,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:48","startHours":13.485746166913493,"endHours":14.79812607606204,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.37362245158138,"endHours":9.723590427354324,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:38","startHours":7.361306590886941,"endHours":7.641280971505298,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:31","startHours":11.823398281992,"endHours":12.523334233537893,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:31","end":"06:13","startHours":5.523974718078975,"endHours":6.223910669624867,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:55","startHours":6.0489266817383935,"endHours":6.9238466211707586,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:37","startHours":13.923206136629675,"endHours":14.623142088175566,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.222885894359134,"endHours":17.622885894359133,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:52","startHours":17.422885894359133,"endHours":17.860345864075317,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.172885894359133,"endHours":18.922885894359133,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:31","startHours":23.823398281992002,"endHours":24.52333423353789,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:55","end":"08:14","startHours":6.9238466211707586,"endHours":8.236226530319305,"quality":"auspicious"},{"name":"Kāla","start":"08:14","end":"09:33","startHours":8.236226530319305,"endHours":9.548606439467852,"quality":"inauspicious"},{"name":"Śubha","start":"09:33","end":"10:52","startHours":9.548606439467852,"endHours":10.8609863486164,"quality":"auspicious"},{"name":"Roga","start":"10:52","end":"12:10","startHours":10.8609863486164,"endHours":12.173366257764947,"quality":"inauspicious"},{"name":"Udveg","start":"12:10","end":"13:29","startHours":12.173366257764947,"endHours":13.485746166913493,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:48","startHours":13.485746166913493,"endHours":14.79812607606204,"quality":"neutral"},{"name":"Labha","start":"14:48","end":"16:07","startHours":14.79812607606204,"endHours":16.110505985210587,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:25","startHours":16.110505985210587,"endHours":17.422885894359133,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:25","end":"19:07","startHours":17.422885894359133,"endHours":19.110505985210587,"quality":"neutral"},{"name":"Labha","start":"19:07","end":"20:48","startHours":19.110505985210587,"endHours":20.79812607606204,"quality":"auspicious"},{"name":"Amṛta","start":"20:48","end":"22:29","startHours":20.79812607606204,"endHours":22.485746166913493,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:10","startHours":22.485746166913493,"endHours":24.173366257764947,"quality":"inauspicious"},{"name":"Śubha","start":"00:10","end":"01:52","startHours":24.173366257764947,"endHours":25.8609863486164,"quality":"auspicious"},{"name":"Roga","start":"01:52","end":"03:33","startHours":25.8609863486164,"endHours":27.548606439467854,"quality":"inauspicious"},{"name":"Udveg","start":"03:33","end":"05:14","startHours":27.548606439467854,"endHours":29.236226530319307,"quality":"inauspicious"},{"name":"Chala","start":"05:14","end":"06:55","startHours":29.236226530319307,"endHours":30.92384662117076,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.9238466211707586,"endHours":7.9238466211707586,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.9238466211707586,"endHours":8.923846621170759,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.923846621170759,"endHours":9.923846621170759,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.923846621170759,"endHours":10.923846621170759,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.923846621170759,"endHours":11.923846621170759,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.923846621170759,"endHours":12.923846621170759,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.923846621170759,"endHours":13.923846621170759,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.923846621170759,"endHours":14.923846621170759,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.923846621170759,"endHours":15.923846621170759,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.923846621170759,"endHours":16.92384662117076,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.92384662117076,"endHours":17.92384662117076,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.92384662117076,"endHours":18.92384662117076,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.92384662117076,"endHours":19.92384662117076,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.92384662117076,"endHours":20.92384662117076,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.92384662117076,"endHours":21.92384662117076,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.92384662117076,"endHours":22.92384662117076,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.92384662117076,"endHours":23.92384662117076,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.92384662117076,"endHours":24.92384662117076,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.92384662117076,"endHours":25.92384662117076,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.92384662117076,"endHours":26.92384662117076,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.92384662117076,"endHours":27.92384662117076,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.92384662117076,"endHours":28.92384662117076,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.92384662117076,"endHours":29.92384662117076,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.92384662117076,"endHours":30.92384662117076,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","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":-22.19029716519701,"eotMinutes":8.960824534103129,"ayanamsa":26.3105}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Saptamī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"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":[]},"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 4, 2175 CE · Vṛndāvana · Vidhyamitra","description":"December 4, 2175 CE for Vṛndāvana: Kṛṣṇa Saptamī, sūryodaya 06:55, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2175-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2175-12-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2175-12-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2175-12-04","x-default":"https://vidhyamitra.com/city/vrindavan/2175-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:37:15.391Z","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":"2026-05-31T03:37:15.391Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:37:15.391Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}