{"id":"vidhyamitra:city-day:kolhapur:-3137-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/-3137-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-10-31","date_display":"October 31, 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":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575571.770833,"kali_year":-35,"ahargana":-12893.7292,"sun":{"sidereal_longitude":251.6868,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":31.1433,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.4564,"elapsed_within_tithi_degrees":7.4564},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.1433,"elapsed_within_degrees":4.4766},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.8301},"karana":{"half_tithi_index":23,"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":10,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575571.770833,"ahargana":-12893.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8959,"grahas":{"sun":{"sidereal_longitude":251.6868,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":31.1433,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-4.1709},"mars":{"sidereal_longitude":117.6304,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":229.2932,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":0.1385,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":239.3112,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":279.0982,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":143.1718,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":323.1718,"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":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575571.770833,"kali_year":-35,"ahargana":-12893.7292,"sun":{"sidereal_longitude":251.6868,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":31.1433,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.4564,"elapsed_within_tithi_degrees":7.4564},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.1433,"elapsed_within_degrees":4.4766},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.8301},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.171,"elongation":139.456},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.171,"opposition_distance":40.544}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:24","sunsetLocal":"18:09","solarNoonLocal":"12:17","dayLengthHours":11.744755102596676,"dayLengthDisplay":"11 Hours 44 Mins 41 Secs","nightLengthDisplay":"12 Hours 15 Mins 19 Secs","moonriseLocal":"15:40","moonsetLocal":"03:29","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"12:17","startHours":10.808139286333278,"endHours":12.276233674157861,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:13","end":"16:41","startHours":15.21242244980703,"endHours":16.680516837631615,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:20","startHours":7.871950510684109,"endHours":9.340044898508694,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:32","startHours":9.144298980132081,"endHours":9.535790816885305,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:12","startHours":6.8932209188010525,"endHours":7.206414388203631,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:40","startHours":11.88474183740464,"endHours":12.667725510911087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:37","startHours":4.8378887758466345,"endHours":5.6208724493530795,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:26","end":"06:24","startHours":5.425126530976469,"endHours":6.4038561228595245,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.233692857923975,"endHours":15.01667653143042,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.9486112254562,"endHours":18.3486112254562,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:38","startHours":18.1486112254562,"endHours":18.63797602139773,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.8986112254562,"endHours":19.6486112254562,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:40","startHours":23.884741837404643,"endHours":24.667725510911087,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:24","end":"07:52","startHours":6.4038561228595245,"endHours":7.871950510684109,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:20","startHours":7.871950510684109,"endHours":9.340044898508694,"quality":"auspicious"},{"name":"Amṛta","start":"09:20","end":"10:48","startHours":9.340044898508694,"endHours":10.808139286333278,"quality":"auspicious"},{"name":"Kāla","start":"10:48","end":"12:17","startHours":10.808139286333278,"endHours":12.276233674157861,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"13:45","startHours":12.276233674157861,"endHours":13.744328061982447,"quality":"auspicious"},{"name":"Roga","start":"13:45","end":"15:13","startHours":13.744328061982447,"endHours":15.21242244980703,"quality":"inauspicious"},{"name":"Udveg","start":"15:13","end":"16:41","startHours":15.21242244980703,"endHours":16.680516837631615,"quality":"inauspicious"},{"name":"Chala","start":"16:41","end":"18:09","startHours":16.680516837631615,"endHours":18.1486112254562,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:09","end":"19:41","startHours":18.1486112254562,"endHours":19.680516837631615,"quality":"inauspicious"},{"name":"Udveg","start":"19:41","end":"21:13","startHours":19.680516837631615,"endHours":21.212422449807033,"quality":"inauspicious"},{"name":"Chala","start":"21:13","end":"22:45","startHours":21.212422449807033,"endHours":22.744328061982447,"quality":"neutral"},{"name":"Labha","start":"22:45","end":"00:17","startHours":22.744328061982447,"endHours":24.27623367415786,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:48","startHours":24.27623367415786,"endHours":25.80813928633328,"quality":"auspicious"},{"name":"Kāla","start":"01:48","end":"03:20","startHours":25.80813928633328,"endHours":27.340044898508694,"quality":"inauspicious"},{"name":"Śubha","start":"03:20","end":"04:52","startHours":27.340044898508694,"endHours":28.87195051068411,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:24","startHours":28.87195051068411,"endHours":30.403856122859523,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.4038561228595245,"endHours":7.4038561228595245,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.4038561228595245,"endHours":8.403856122859525,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.403856122859525,"endHours":9.403856122859525,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.403856122859525,"endHours":10.403856122859525,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.403856122859525,"endHours":11.403856122859525,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.403856122859525,"endHours":12.403856122859525,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.403856122859525,"endHours":13.403856122859525,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.403856122859525,"endHours":14.403856122859525,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.403856122859525,"endHours":15.403856122859525,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.403856122859525,"endHours":16.403856122859523,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.403856122859523,"endHours":17.403856122859523,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.403856122859523,"endHours":18.403856122859523,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.403856122859523,"endHours":19.403856122859523,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.403856122859523,"endHours":20.403856122859523,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.403856122859523,"endHours":21.403856122859523,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.403856122859523,"endHours":22.403856122859523,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.403856122859523,"endHours":23.403856122859523,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.403856122859523,"endHours":24.403856122859523,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.403856122859523,"endHours":25.403856122859523,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.403856122859523,"endHours":26.403856122859523,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.403856122859523,"endHours":27.403856122859523,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.403856122859523,"endHours":28.403856122859523,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.403856122859523,"endHours":29.403856122859523,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.403856122859523,"endHours":30.403856122859523,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.232741873638071,"eotMinutes":16.45277955052819,"ayanamsa":-47.8959}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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":"Pauṣa Śukla Dvādaśī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":true,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 31, 3138 BCE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 31, 3138 BCE for Kolhāpur, Maharashtra: Śukla Dvādaśī, sūryodaya 06:24, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/-3137-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/-3137-10-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/-3137-10-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/-3137-10-31","x-default":"https://vidhyamitra.com/city/kolhapur/-3137-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:54:01.538Z","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":"2026-05-31T19:54:01.539Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:54:01.539Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}