{"id":"vidhyamitra:city-day:mathura:-3232-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3232-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3232-01-11","date_display":"January 11, 3233 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":-3232,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":540579.770833,"kali_year":-131,"ahargana":-47885.7292,"sun":{"sidereal_longitude":325.9095,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":123.0803,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.1709,"elapsed_within_tithi_degrees":1.1709},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.0803,"elapsed_within_degrees":3.0803},"yoga":{"number":7,"name":"Sukarma","sum_longitude":88.9898},"karana":{"half_tithi_index":26,"name":"Gara"},"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":-3232,"month":1,"day":11,"hour":6,"minute":30,"calendar":"julian"},"julian_day":540579.770833,"ahargana":-47885.7292,"kali_year":-131,"ayanamsa_lahiri":-49.2343,"grahas":{"sun":{"sidereal_longitude":325.9095,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.0803,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.3283},"mars":{"sidereal_longitude":78.4274,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":299.6915,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":338.7074,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":323.195,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":210.2296,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":197.2164,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.2164,"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":-3232,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":540579.770833,"kali_year":-131,"ahargana":-47885.7292,"sun":{"sidereal_longitude":325.9095,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":123.0803,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":157.1709,"elapsed_within_tithi_degrees":1.1709},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.0803,"elapsed_within_degrees":3.0803},"yoga":{"number":7,"name":"Sukarma","sum_longitude":88.9898},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.328,"elongation":157.171},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.328,"opposition_distance":22.829}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:15","sunsetLocal":"17:40","solarNoonLocal":"12:27","dayLengthHours":10.415417531294722,"dayLengthDisplay":"10 Hours 24 Mins 56 Secs","nightLengthDisplay":"13 Hours 35 Mins 04 Secs","moonriseLocal":"16:03","moonsetLocal":"05:48","rahuKala":{"name":"Rāhu Kāla","start":"09:51","end":"11:09","startHours":9.849340654425763,"endHours":11.151267845837605,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:03","startHours":13.755122228661286,"endHours":15.057049420073124,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:15","end":"08:33","startHours":7.245486271602084,"endHours":8.547413463013925,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:01","startHours":9.675750362237519,"endHours":10.022930946614009,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:57","startHours":7.679462002072697,"endHours":7.957206469573889,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.106014452872953,"endHours":12.800375621625934,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.85676393409612,"endHours":6.551125102849102,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.3775348106608565,"endHours":7.245486271602084,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.1890979591319,"endHours":14.883459127884882,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.460903802896805,"endHours":17.860903802896804,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.660903802896804,"endHours":18.09487953336742,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.410903802896804,"endHours":19.160903802896804,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.10601445287295,"endHours":24.800375621625935,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:15","end":"08:33","startHours":7.245486271602084,"endHours":8.547413463013925,"quality":"inauspicious"},{"name":"Śubha","start":"08:33","end":"09:51","startHours":8.547413463013925,"endHours":9.849340654425763,"quality":"auspicious"},{"name":"Roga","start":"09:51","end":"11:09","startHours":9.849340654425763,"endHours":11.151267845837605,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:27","startHours":11.151267845837605,"endHours":12.453195037249444,"quality":"inauspicious"},{"name":"Chala","start":"12:27","end":"13:45","startHours":12.453195037249444,"endHours":13.755122228661286,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:03","startHours":13.755122228661286,"endHours":15.057049420073124,"quality":"auspicious"},{"name":"Amṛta","start":"15:03","end":"16:22","startHours":15.057049420073124,"endHours":16.358976611484966,"quality":"auspicious"},{"name":"Kāla","start":"16:22","end":"17:40","startHours":16.358976611484966,"endHours":17.660903802896804,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:40","end":"19:22","startHours":17.660903802896804,"endHours":19.358976611484962,"quality":"auspicious"},{"name":"Amṛta","start":"19:22","end":"21:03","startHours":19.358976611484962,"endHours":21.057049420073124,"quality":"auspicious"},{"name":"Kāla","start":"21:03","end":"22:45","startHours":21.057049420073124,"endHours":22.755122228661286,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:27","startHours":22.755122228661286,"endHours":24.453195037249444,"quality":"auspicious"},{"name":"Roga","start":"00:27","end":"02:09","startHours":24.453195037249444,"endHours":26.1512678458376,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:51","startHours":26.1512678458376,"endHours":27.849340654425763,"quality":"inauspicious"},{"name":"Chala","start":"03:51","end":"05:33","startHours":27.849340654425763,"endHours":29.547413463013925,"quality":"neutral"},{"name":"Labha","start":"05:33","end":"07:15","startHours":29.547413463013925,"endHours":31.245486271602083,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.245486271602084,"endHours":8.245486271602083,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.245486271602083,"endHours":9.245486271602083,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.245486271602083,"endHours":10.245486271602083,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.245486271602083,"endHours":11.245486271602083,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.245486271602083,"endHours":12.245486271602083,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.245486271602083,"endHours":13.245486271602083,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.245486271602083,"endHours":14.245486271602083,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.245486271602083,"endHours":15.245486271602083,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.245486271602083,"endHours":16.245486271602083,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.245486271602083,"endHours":17.245486271602083,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.245486271602083,"endHours":18.245486271602083,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.245486271602083,"endHours":19.245486271602083,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.245486271602083,"endHours":20.245486271602083,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.245486271602083,"endHours":21.245486271602083,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.245486271602083,"endHours":22.245486271602083,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.245486271602083,"endHours":23.245486271602083,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.245486271602083,"endHours":24.245486271602083,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.245486271602083,"endHours":25.245486271602083,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.245486271602083,"endHours":26.245486271602083,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.245486271602083,"endHours":27.245486271602083,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.245486271602083,"endHours":28.245486271602083,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.245486271602083,"endHours":29.245486271602083,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.245486271602083,"endHours":30.245486271602083,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.245486271602083,"endHours":31.245486271602083,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","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":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.268235228484848,"eotMinutes":-7.886502234966622,"ayanamsa":-49.2343}},"calendars":{"vikram_samvat":-3175,"saka_samvat":-3310,"bengali_samvat":-3825,"malayalam_era":-4056,"nanakshahi_year":-4701,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Caturdaśī · Vikram -3175 undefined · Śaka -3310 undefined"},"festivals":[{"id":"holika-dahana","name":"Holikā Dahana","name_sanskrit":"होलिका दहन","tradition":"Vaishnava","associated_deity":"Bhagavān Narasiṁha (Prahlāda-rakṣaka)","significance":"Burning of Holikā; Prahlāda saved by Hari. Eve of Holi.","vrata":true,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 7.5"]},{"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":"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":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 11, 3233 BCE · Mathurā · Vidhyamitra","description":"January 11, 3233 BCE for Mathurā: Śukla Caturdaśī, sūryodaya 07:15, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3232-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3232-01-11","sa":"https://sa.vidhyamitra.com/city/mathura/-3232-01-11","hi":"https://hi.vidhyamitra.com/city/mathura/-3232-01-11","x-default":"https://vidhyamitra.com/city/mathura/-3232-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:43:13.626Z","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":"2026-05-14T21:43:13.626Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:43:13.626Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}