{"id":"vidhyamitra:city-day:vrindavan:1957-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1957-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1957-12-07","date_display":"December 7, 1957 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":1957,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436179.770833,"kali_year":5059,"ahargana":1847714.2708,"sun":{"sidereal_longitude":231.0533,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":47.5512,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.4979,"elapsed_within_tithi_degrees":8.4979},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.5512,"elapsed_within_degrees":7.5512},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.6045},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1957,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2436179.770833,"ahargana":1847714.2708,"kali_year":5059,"ayanamsa_lahiri":23.2653,"grahas":{"sun":{"sidereal_longitude":231.40347500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":48.773874999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-2.1348},"mars":{"sidereal_longitude":206.32577500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.973975,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":181.79887499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":277.673275,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":233.67527500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":199.2061,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":19.2061,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1957,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436179.770833,"kali_year":5059,"ahargana":1847714.2708,"sun":{"sidereal_longitude":231.0533,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":47.5512,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":176.4979,"elapsed_within_tithi_degrees":8.4979},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":47.5512,"elapsed_within_degrees":7.5512},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.6045},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.135,"elongation":176.498},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.135,"opposition_distance":3.502}},"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":"06:58","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.469079569819836,"dayLengthDisplay":"10 Hours 28 Mins 09 Secs","nightLengthDisplay":"13 Hours 31 Mins 51 Secs","moonriseLocal":"17:09","moonsetLocal":"06:53","rahuKala":{"name":"Rāhu Kāla","start":"09:35","end":"10:53","startHours":9.57671516548942,"endHours":10.8853501117169,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"14:49","startHours":13.50262000417186,"endHours":14.811254950399338,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:58","end":"08:16","startHours":6.9594452730344605,"endHours":8.26808021926194,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.402230505992422,"endHours":9.751199824986417,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:40","startHours":7.395656921776954,"endHours":7.67483237697215,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:33","startHours":11.845015738950385,"endHours":12.542954376938374,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:16","startHours":5.563567997058483,"endHours":6.261506635046471,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:58","startHours":6.087021975549474,"endHours":6.9594452730344605,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.938831652914352,"endHours":14.63677029090234,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.2285248428543,"endHours":17.628524842854297,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.428524842854298,"endHours":17.86473649159679,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.178524842854298,"endHours":18.928524842854298,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:33","startHours":23.845015738950387,"endHours":24.542954376938376,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:58","end":"08:16","startHours":6.9594452730344605,"endHours":8.26808021926194,"quality":"inauspicious"},{"name":"Śubha","start":"08:16","end":"09:35","startHours":8.26808021926194,"endHours":9.57671516548942,"quality":"auspicious"},{"name":"Roga","start":"09:35","end":"10:53","startHours":9.57671516548942,"endHours":10.8853501117169,"quality":"inauspicious"},{"name":"Udveg","start":"10:53","end":"12:12","startHours":10.8853501117169,"endHours":12.193985057944378,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:30","startHours":12.193985057944378,"endHours":13.50262000417186,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"14:49","startHours":13.50262000417186,"endHours":14.811254950399338,"quality":"auspicious"},{"name":"Amṛta","start":"14:49","end":"16:07","startHours":14.811254950399338,"endHours":16.119889896626816,"quality":"auspicious"},{"name":"Kāla","start":"16:07","end":"17:26","startHours":16.119889896626816,"endHours":17.428524842854298,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:26","end":"19:07","startHours":17.428524842854298,"endHours":19.11988989662682,"quality":"auspicious"},{"name":"Amṛta","start":"19:07","end":"20:49","startHours":19.11988989662682,"endHours":20.811254950399338,"quality":"auspicious"},{"name":"Kāla","start":"20:49","end":"22:30","startHours":20.811254950399338,"endHours":22.50262000417186,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"00:12","startHours":22.50262000417186,"endHours":24.19398505794438,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:53","startHours":24.19398505794438,"endHours":25.8853501117169,"quality":"inauspicious"},{"name":"Udveg","start":"01:53","end":"03:35","startHours":25.8853501117169,"endHours":27.57671516548942,"quality":"inauspicious"},{"name":"Chala","start":"03:35","end":"05:16","startHours":27.57671516548942,"endHours":29.26808021926194,"quality":"neutral"},{"name":"Labha","start":"05:16","end":"06:58","startHours":29.26808021926194,"endHours":30.95944527303446,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.9594452730344605,"endHours":7.9594452730344605,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.9594452730344605,"endHours":8.959445273034461,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.959445273034461,"endHours":9.959445273034461,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.959445273034461,"endHours":10.959445273034461,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.959445273034461,"endHours":11.959445273034461,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.959445273034461,"endHours":12.959445273034461,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.959445273034461,"endHours":13.959445273034461,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.959445273034461,"endHours":14.959445273034461,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.959445273034461,"endHours":15.959445273034461,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.959445273034461,"endHours":16.95944527303446,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.95944527303446,"endHours":17.95944527303446,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.95944527303446,"endHours":18.95944527303446,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.95944527303446,"endHours":19.95944527303446,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.95944527303446,"endHours":20.95944527303446,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.95944527303446,"endHours":21.95944527303446,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.95944527303446,"endHours":22.95944527303446,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.95944527303446,"endHours":23.95944527303446,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.95944527303446,"endHours":24.95944527303446,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.95944527303446,"endHours":25.95944527303446,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.95944527303446,"endHours":26.95944527303446,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.95944527303446,"endHours":27.95944527303446,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.95944527303446,"endHours":28.95944527303446,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.95944527303446,"endHours":29.95944527303446,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.95944527303446,"endHours":30.95944527303446,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","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":-22.555522783898837,"eotMinutes":7.723696523337262,"ayanamsa":23.2653}},"calendars":{"vikram_samvat":2014,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1879,"saka_samvatsara":"Hemalambī","bengali_samvat":1364,"malayalam_era":1133,"nanakshahi_year":488,"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 Pūrṇimā · Vikram 2014 Sādhāraṇa · Śaka 1879 Hemalambī"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 Rohiṇī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 7, 1957 CE · Vṛndāvana · Vidhyamitra","description":"December 7, 1957 CE for Vṛndāvana: Śukla Pūrṇimā, sūryodaya 06:58, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1957-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1957-12-07","sa":"https://sa.vidhyamitra.com/city/vrindavan/1957-12-07","hi":"https://hi.vidhyamitra.com/city/vrindavan/1957-12-07","x-default":"https://vidhyamitra.com/city/vrindavan/1957-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:08:11.258Z","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":"2026-06-02T10:08:11.258Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:08:11.258Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}