{"id":"vidhyamitra:city-day:mathura:-3163-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3163-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3163-01-14","date_display":"January 14, 3164 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":-3163,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565785.770833,"kali_year":-62,"ahargana":-22679.7292,"sun":{"sidereal_longitude":329.0534,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":329.9222,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8687,"elapsed_within_tithi_degrees":0.8687},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.9222,"elapsed_within_degrees":9.9222},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.9756},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":-3163,"month":1,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565785.770833,"ahargana":-22679.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2702,"grahas":{"sun":{"sidereal_longitude":329.0534,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":329.9222,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.1276},"mars":{"sidereal_longitude":348.877,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":344.185,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":279.3322,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":351.5035,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":313.8352,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.6812,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.6812,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3163,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565785.770833,"kali_year":-62,"ahargana":-22679.7292,"sun":{"sidereal_longitude":329.0534,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":329.9222,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8687,"elapsed_within_tithi_degrees":0.8687},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.9222,"elapsed_within_degrees":9.9222},"yoga":{"number":23,"name":"Śubha","sum_longitude":298.9756},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.128,"elongation":0.869},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.128,"opposition_distance":179.131}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"17:41","solarNoonLocal":"12:28","dayLengthHours":10.437735753901917,"dayLengthDisplay":"10 Hours 26 Mins 16 Secs","nightLengthDisplay":"13 Hours 33 Mins 44 Secs","moonriseLocal":"07:20","moonsetLocal":"17:44","rahuKala":{"name":"Rāhu Kāla","start":"11:10","end":"12:28","startHours":11.166995114084735,"endHours":12.471712083322473,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:05","end":"16:23","startHours":15.081146021797952,"endHours":16.385862991035694,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:33","end":"09:52","startHours":8.557561175609255,"endHours":9.862278144846995,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.688315882281962,"endHours":10.036240407412027,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.687749862784095,"endHours":7.966089482888146,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.123787558192408,"endHours":12.819636608452537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.86114610585126,"endHours":6.5569951561113875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.383032893546355,"endHours":7.252844206371515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:54","startHours":14.211334708972792,"endHours":14.90718375923292,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.490579960273433,"endHours":17.89057996027343,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.690579960273432,"endHours":18.12548561668601,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.440579960273432,"endHours":19.190579960273432,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.123787558192408,"endHours":24.819636608452537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:15","end":"08:33","startHours":7.252844206371515,"endHours":8.557561175609255,"quality":"neutral"},{"name":"Labha","start":"08:33","end":"09:52","startHours":8.557561175609255,"endHours":9.862278144846995,"quality":"auspicious"},{"name":"Amṛta","start":"09:52","end":"11:10","startHours":9.862278144846995,"endHours":11.166995114084735,"quality":"auspicious"},{"name":"Kāla","start":"11:10","end":"12:28","startHours":11.166995114084735,"endHours":12.471712083322473,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.776429052560214,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:05","startHours":13.776429052560214,"endHours":15.081146021797952,"quality":"inauspicious"},{"name":"Udveg","start":"15:05","end":"16:23","startHours":15.081146021797952,"endHours":16.385862991035694,"quality":"inauspicious"},{"name":"Chala","start":"16:23","end":"17:41","startHours":16.385862991035694,"endHours":17.690579960273432,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:41","end":"19:23","startHours":17.690579960273432,"endHours":19.385862991035694,"quality":"inauspicious"},{"name":"Udveg","start":"19:23","end":"21:05","startHours":19.385862991035694,"endHours":21.081146021797952,"quality":"inauspicious"},{"name":"Chala","start":"21:05","end":"22:47","startHours":21.081146021797952,"endHours":22.776429052560214,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:28","startHours":22.776429052560214,"endHours":24.471712083322473,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:10","startHours":24.471712083322473,"endHours":26.166995114084735,"quality":"auspicious"},{"name":"Kāla","start":"02:10","end":"03:52","startHours":26.166995114084735,"endHours":27.862278144846996,"quality":"inauspicious"},{"name":"Śubha","start":"03:52","end":"05:33","startHours":27.862278144846996,"endHours":29.557561175609255,"quality":"auspicious"},{"name":"Roga","start":"05:33","end":"07:15","startHours":29.557561175609255,"endHours":31.252844206371513,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.252844206371515,"endHours":8.252844206371515,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.252844206371515,"endHours":9.252844206371515,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.252844206371515,"endHours":10.252844206371515,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.252844206371515,"endHours":11.252844206371515,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.252844206371515,"endHours":12.252844206371515,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.252844206371515,"endHours":13.252844206371515,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.252844206371515,"endHours":14.252844206371515,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.252844206371515,"endHours":15.252844206371515,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.252844206371515,"endHours":16.252844206371513,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.252844206371513,"endHours":17.252844206371513,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.252844206371513,"endHours":18.252844206371513,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.252844206371513,"endHours":19.252844206371513,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.252844206371513,"endHours":20.252844206371513,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.252844206371513,"endHours":21.252844206371513,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.252844206371513,"endHours":22.252844206371513,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.252844206371513,"endHours":23.252844206371513,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.252844206371513,"endHours":24.252844206371513,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.252844206371513,"endHours":25.252844206371513,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.252844206371513,"endHours":26.252844206371513,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.252844206371513,"endHours":27.252844206371513,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.252844206371513,"endHours":28.252844206371513,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.252844206371513,"endHours":29.252844206371513,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.252844206371513,"endHours":30.252844206371513,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.252844206371513,"endHours":31.252844206371513,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.998645154771786,"eotMinutes":-8.99752499934842,"ayanamsa":-48.2702}},"calendars":{"vikram_samvat":-3106,"saka_samvat":-3241,"bengali_samvat":-3756,"malayalam_era":-3987,"nanakshahi_year":-4632,"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 Pratipada · Vikram -3106 undefined · Śaka -3241 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":[]},"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 14, 3164 BCE · Mathurā · Vidhyamitra","description":"January 14, 3164 BCE for Mathurā: Śukla Pratipada, sūryodaya 07:15, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3163-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3163-01-14","sa":"https://sa.vidhyamitra.com/city/mathura/-3163-01-14","hi":"https://hi.vidhyamitra.com/city/mathura/-3163-01-14","x-default":"https://vidhyamitra.com/city/mathura/-3163-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:01:39.285Z","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":"2026-08-12T00:01:39.285Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:01:39.285Z","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"}}}