{"id":"vidhyamitra:city-day:vrindavan:-3137-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/-3137-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-26","date_display":"December 26, 3138 BCE","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":-3137,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575627.770833,"kali_year":-35,"ahargana":-12837.7292,"sun":{"sidereal_longitude":308.9668,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":48.3533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.3865,"elapsed_within_tithi_degrees":3.3865},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.3533,"elapsed_within_degrees":8.3533},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.3201},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3137,"month":12,"day":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575627.770833,"ahargana":-12837.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8938,"grahas":{"sun":{"sidereal_longitude":308.9668,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":48.3533,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-4.4976},"mars":{"sidereal_longitude":102.2643,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":321.4823,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":6.2659,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":310.0154,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":285.6881,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.2047,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.2047,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575627.770833,"kali_year":-35,"ahargana":-12837.7292,"sun":{"sidereal_longitude":308.9668,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":48.3533,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.3865,"elapsed_within_tithi_degrees":3.3865},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.3533,"elapsed_within_degrees":8.3533},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.3201},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":99.387},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":80.613}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":"07:08","sunsetLocal":"17:33","solarNoonLocal":"12:20","dayLengthHours":10.421097148480378,"dayLengthDisplay":"10 Hours 25 Mins 16 Secs","nightLengthDisplay":"13 Hours 34 Mins 44 Secs","moonriseLocal":"12:55","moonsetLocal":"01:01","rahuKala":{"name":"Rāhu Kāla","start":"11:02","end":"12:20","startHours":11.036076395280359,"endHours":12.338713538840405,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:57","end":"16:15","startHours":14.943987825960502,"endHours":16.246624969520546,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:26","end":"09:44","startHours":8.430802108160265,"endHours":9.733439251720313,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.55975429924564,"endHours":9.907124204194986,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:50","startHours":7.5623773457869,"endHours":7.840273269746377,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.99134363389106,"endHours":12.686083443789752,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:26","startHours":5.738685344802834,"endHours":6.433425154701526,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:08","startHours":6.259740202226853,"endHours":7.128164964600217,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.075563063587136,"endHours":14.770302873485829,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.349262113080595,"endHours":17.749262113080594,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:59","startHours":17.549262113080594,"endHours":17.983474494267277,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.299262113080594,"endHours":19.049262113080594,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.99134363389106,"endHours":24.68608344378975,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:08","end":"08:26","startHours":7.128164964600217,"endHours":8.430802108160265,"quality":"neutral"},{"name":"Labha","start":"08:26","end":"09:44","startHours":8.430802108160265,"endHours":9.733439251720313,"quality":"auspicious"},{"name":"Amṛta","start":"09:44","end":"11:02","startHours":9.733439251720313,"endHours":11.036076395280359,"quality":"auspicious"},{"name":"Kāla","start":"11:02","end":"12:20","startHours":11.036076395280359,"endHours":12.338713538840405,"quality":"inauspicious"},{"name":"Śubha","start":"12:20","end":"13:38","startHours":12.338713538840405,"endHours":13.641350682400454,"quality":"auspicious"},{"name":"Roga","start":"13:38","end":"14:57","startHours":13.641350682400454,"endHours":14.943987825960502,"quality":"inauspicious"},{"name":"Udveg","start":"14:57","end":"16:15","startHours":14.943987825960502,"endHours":16.246624969520546,"quality":"inauspicious"},{"name":"Chala","start":"16:15","end":"17:33","startHours":16.246624969520546,"endHours":17.549262113080594,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:33","end":"19:15","startHours":17.549262113080594,"endHours":19.246624969520546,"quality":"inauspicious"},{"name":"Udveg","start":"19:15","end":"20:57","startHours":19.246624969520546,"endHours":20.943987825960498,"quality":"inauspicious"},{"name":"Chala","start":"20:57","end":"22:38","startHours":20.943987825960498,"endHours":22.641350682400454,"quality":"neutral"},{"name":"Labha","start":"22:38","end":"00:20","startHours":22.641350682400454,"endHours":24.338713538840405,"quality":"auspicious"},{"name":"Amṛta","start":"00:20","end":"02:02","startHours":24.338713538840405,"endHours":26.036076395280357,"quality":"auspicious"},{"name":"Kāla","start":"02:02","end":"03:44","startHours":26.036076395280357,"endHours":27.733439251720313,"quality":"inauspicious"},{"name":"Śubha","start":"03:44","end":"05:26","startHours":27.733439251720313,"endHours":29.430802108160265,"quality":"auspicious"},{"name":"Roga","start":"05:26","end":"07:08","startHours":29.430802108160265,"endHours":31.128164964600217,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.128164964600217,"endHours":8.128164964600217,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.128164964600217,"endHours":9.128164964600217,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.128164964600217,"endHours":10.128164964600217,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.128164964600217,"endHours":11.128164964600217,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.128164964600217,"endHours":12.128164964600217,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.128164964600217,"endHours":13.128164964600217,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.128164964600217,"endHours":14.128164964600217,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.128164964600217,"endHours":15.128164964600217,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.128164964600217,"endHours":16.128164964600217,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.128164964600217,"endHours":17.128164964600217,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.128164964600217,"endHours":18.128164964600217,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.128164964600217,"endHours":19.128164964600217,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.128164964600217,"endHours":20.128164964600217,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.128164964600217,"endHours":21.128164964600217,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.128164964600217,"endHours":22.128164964600217,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.128164964600217,"endHours":23.128164964600217,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.128164964600217,"endHours":24.128164964600217,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.128164964600217,"endHours":25.128164964600217,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.128164964600217,"endHours":26.128164964600217,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.128164964600217,"endHours":27.128164964600217,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.128164964600217,"endHours":28.128164964600217,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.128164964600217,"endHours":29.128164964600217,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.128164964600217,"endHours":30.128164964600217,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.128164964600217,"endHours":31.128164964600217,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.135980585196542,"eotMinutes":-0.9600123304242594,"ayanamsa":-47.8938}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Navamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":true,"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 26, 3138 BCE · Vṛndāvana · Vidhyamitra","description":"December 26, 3138 BCE for Vṛndāvana: Śukla Navamī, sūryodaya 07:08, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/-3137-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/-3137-12-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/-3137-12-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/-3137-12-26","x-default":"https://vidhyamitra.com/city/vrindavan/-3137-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:32:38.077Z","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":"2026-05-14T15:32:38.077Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:32:38.077Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}