{"id":"vidhyamitra:city-day:mathura:-3146-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3146-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-12-31","date_display":"December 31, 3147 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3146,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572345.770833,"kali_year":-44,"ahargana":-16119.7292,"sun":{"sidereal_longitude":314.3476,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":6.5921,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2445,"elapsed_within_tithi_degrees":4.2445},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.5921,"elapsed_within_degrees":6.5921},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.9397},"karana":{"half_tithi_index":8,"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":-3146,"month":12,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572345.770833,"ahargana":-16119.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0193,"grahas":{"sun":{"sidereal_longitude":314.3476,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":6.5921,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":3.5683},"mars":{"sidereal_longitude":221.2724,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":298.4487,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":98.7583,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":0.6578,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":194.2157,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":314.1008,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.1008,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3146,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572345.770833,"kali_year":-44,"ahargana":-16119.7292,"sun":{"sidereal_longitude":314.3476,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":6.5921,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2445,"elapsed_within_tithi_degrees":4.2445},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":6.5921,"elapsed_within_degrees":6.5921},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.9397},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.568,"elongation":52.245},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.568,"opposition_distance":127.755}},"eclipse_window_40days":[{"offset_days":-4,"type":"solar","occurs":true,"moon_latitude":-0.174,"elongation":1.789}]},"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":"07:10","sunsetLocal":"17:35","solarNoonLocal":"12:23","dayLengthHours":10.40567589129969,"dayLengthDisplay":"10 Hours 24 Mins 20 Secs","nightLengthDisplay":"13 Hours 35 Mins 40 Secs","moonriseLocal":"10:21","moonsetLocal":"21:22","rahuKala":{"name":"Rāhu Kāla","start":"09:46","end":"11:05","startHours":9.774604942571834,"endHours":11.075314428984296,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"14:59","startHours":13.67673340180922,"endHours":14.97744288822168,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:28","startHours":7.173185969746911,"endHours":8.473895456159372,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.601177011050172,"endHours":9.948032874093496,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.606755798551065,"endHours":7.884240488985723,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.029168052353432,"endHours":12.72287977844008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.78576251757362,"endHours":6.479474243660265,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.306046312138604,"endHours":7.173185969746911,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:48","startHours":14.110303230613372,"endHours":14.804014956700017,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.3788618610466,"endHours":17.7788618610466,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.5788618610466,"endHours":18.012431689850754,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.3288618610466,"endHours":19.0788618610466,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.029168052353434,"endHours":24.72287977844008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:28","startHours":7.173185969746911,"endHours":8.473895456159372,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:46","startHours":8.473895456159372,"endHours":9.774604942571834,"quality":"auspicious"},{"name":"Roga","start":"09:46","end":"11:05","startHours":9.774604942571834,"endHours":11.075314428984296,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:23","startHours":11.075314428984296,"endHours":12.376023915396758,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:41","startHours":12.376023915396758,"endHours":13.67673340180922,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"14:59","startHours":13.67673340180922,"endHours":14.97744288822168,"quality":"auspicious"},{"name":"Amṛta","start":"14:59","end":"16:17","startHours":14.97744288822168,"endHours":16.27815237463414,"quality":"auspicious"},{"name":"Kāla","start":"16:17","end":"17:35","startHours":16.27815237463414,"endHours":17.5788618610466,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:35","end":"19:17","startHours":17.5788618610466,"endHours":19.27815237463414,"quality":"auspicious"},{"name":"Amṛta","start":"19:17","end":"20:59","startHours":19.27815237463414,"endHours":20.977442888221677,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:41","startHours":20.977442888221677,"endHours":22.676733401809216,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:23","startHours":22.676733401809216,"endHours":24.376023915396758,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:05","startHours":24.376023915396758,"endHours":26.075314428984292,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:46","startHours":26.075314428984292,"endHours":27.774604942571834,"quality":"inauspicious"},{"name":"Chala","start":"03:46","end":"05:28","startHours":27.774604942571834,"endHours":29.473895456159372,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:10","startHours":29.473895456159372,"endHours":31.17318596974691,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173185969746911,"endHours":8.17318596974691,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.17318596974691,"endHours":9.17318596974691,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.17318596974691,"endHours":10.17318596974691,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.17318596974691,"endHours":11.17318596974691,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.17318596974691,"endHours":12.17318596974691,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.17318596974691,"endHours":13.17318596974691,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.17318596974691,"endHours":14.17318596974691,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.17318596974691,"endHours":15.17318596974691,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.17318596974691,"endHours":16.17318596974691,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.17318596974691,"endHours":17.17318596974691,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.17318596974691,"endHours":18.17318596974691,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.17318596974691,"endHours":19.17318596974691,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.17318596974691,"endHours":20.17318596974691,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.17318596974691,"endHours":21.17318596974691,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.17318596974691,"endHours":22.17318596974691,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.17318596974691,"endHours":23.17318596974691,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.17318596974691,"endHours":24.17318596974691,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.17318596974691,"endHours":25.17318596974691,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.17318596974691,"endHours":26.17318596974691,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.17318596974691,"endHours":27.17318596974691,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.17318596974691,"endHours":28.17318596974691,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.17318596974691,"endHours":29.17318596974691,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.17318596974691,"endHours":30.17318596974691,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.17318596974691,"endHours":31.17318596974691,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.385527759124685,"eotMinutes":-3.2562349238053434,"ayanamsa":-48.0193}},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Pañcamī · Vikram -3089 undefined · Śaka -3224 undefined"},"festivals":[],"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 December 31, 3147 BCE · Mathurā · Vidhyamitra","description":"December 31, 3147 BCE for Mathurā: Śukla Pañcamī, sūryodaya 07:10, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3146-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3146-12-31","sa":"https://sa.vidhyamitra.com/city/mathura/-3146-12-31","hi":"https://hi.vidhyamitra.com/city/mathura/-3146-12-31","x-default":"https://vidhyamitra.com/city/mathura/-3146-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:47:36.914Z","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":"2026-08-10T13:47:36.914Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:47:36.914Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}