{"id":"vidhyamitra:city-day:mathura:-3136-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3136-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-01-13","date_display":"January 13, 3137 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":-3136,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575645.770833,"kali_year":-35,"ahargana":-12819.7292,"sun":{"sidereal_longitude":327.0689,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":283.5844,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":316.5154,"elapsed_within_tithi_degrees":4.5154},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5844,"elapsed_within_degrees":3.5844},"yoga":{"number":19,"name":"Parigha","sum_longitude":250.6533},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3136,"month":1,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575645.770833,"ahargana":-12819.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8931,"grahas":{"sun":{"sidereal_longitude":327.0689,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":283.5844,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":2.622},"mars":{"sidereal_longitude":98.8823,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":339.5421,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":9.6532,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":332.6174,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":287.6448,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":139.2509,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":319.2509,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"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":-3136,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575645.770833,"kali_year":-35,"ahargana":-12819.7292,"sun":{"sidereal_longitude":327.0689,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":283.5844,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":316.5154,"elapsed_within_tithi_degrees":4.5154},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.5844,"elapsed_within_degrees":3.5844},"yoga":{"number":19,"name":"Parigha","sum_longitude":250.6533},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.622,"elongation":43.485},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.622,"opposition_distance":136.515}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":10.427780138301102,"dayLengthDisplay":"10 Hours 25 Mins 40 Secs","nightLengthDisplay":"13 Hours 34 Mins 20 Secs","moonriseLocal":"04:13","moonsetLocal":"14:55","rahuKala":{"name":"Rāhu Kāla","start":"15:04","end":"16:23","startHours":15.072630559431502,"endHours":16.37610307671914,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:52","end":"11:10","startHours":9.858740490280951,"endHours":11.162213007568589,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:28","end":"13:46","startHours":12.465685524856227,"endHours":13.769158042143864,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.684944154642599,"endHours":10.032536825919303,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.686286294801555,"endHours":7.964360431822917,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.118092853579522,"endHours":12.81327819613293,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.861424770598862,"endHours":6.556610113152269,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.382813777513917,"endHours":7.251795455705675,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:54","startHours":14.203648881239744,"endHours":14.89883422379315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.47957559400678,"endHours":17.879575594006777,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:07","startHours":17.679575594006778,"endHours":18.114066433102657,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.429575594006778,"endHours":19.179575594006778,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.118092853579522,"endHours":24.81327819613293,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:15","end":"08:33","startHours":7.251795455705675,"endHours":8.555267972993313,"quality":"inauspicious"},{"name":"Udveg","start":"08:33","end":"09:52","startHours":8.555267972993313,"endHours":9.858740490280951,"quality":"inauspicious"},{"name":"Chala","start":"09:52","end":"11:10","startHours":9.858740490280951,"endHours":11.162213007568589,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:28","startHours":11.162213007568589,"endHours":12.465685524856227,"quality":"auspicious"},{"name":"Amṛta","start":"12:28","end":"13:46","startHours":12.465685524856227,"endHours":13.769158042143864,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:04","startHours":13.769158042143864,"endHours":15.072630559431502,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:23","startHours":15.072630559431502,"endHours":16.37610307671914,"quality":"auspicious"},{"name":"Roga","start":"16:23","end":"17:41","startHours":16.37610307671914,"endHours":17.679575594006778,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:41","end":"19:23","startHours":17.679575594006778,"endHours":19.37610307671914,"quality":"inauspicious"},{"name":"Śubha","start":"19:23","end":"21:04","startHours":19.37610307671914,"endHours":21.072630559431502,"quality":"auspicious"},{"name":"Roga","start":"21:04","end":"22:46","startHours":21.072630559431502,"endHours":22.769158042143864,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:28","startHours":22.769158042143864,"endHours":24.465685524856227,"quality":"inauspicious"},{"name":"Chala","start":"00:28","end":"02:10","startHours":24.465685524856227,"endHours":26.16221300756859,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:52","startHours":26.16221300756859,"endHours":27.85874049028095,"quality":"auspicious"},{"name":"Amṛta","start":"03:52","end":"05:33","startHours":27.85874049028095,"endHours":29.555267972993313,"quality":"auspicious"},{"name":"Kāla","start":"05:33","end":"07:15","startHours":29.555267972993313,"endHours":31.251795455705675,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.251795455705675,"endHours":8.251795455705675,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.251795455705675,"endHours":9.251795455705675,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.251795455705675,"endHours":10.251795455705675,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.251795455705675,"endHours":11.251795455705675,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.251795455705675,"endHours":12.251795455705675,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.251795455705675,"endHours":13.251795455705675,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.251795455705675,"endHours":14.251795455705675,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.251795455705675,"endHours":15.251795455705675,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.251795455705675,"endHours":16.251795455705675,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.251795455705675,"endHours":17.251795455705675,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.251795455705675,"endHours":18.251795455705675,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.251795455705675,"endHours":19.251795455705675,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.251795455705675,"endHours":20.251795455705675,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.251795455705675,"endHours":21.251795455705675,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.251795455705675,"endHours":22.251795455705675,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.251795455705675,"endHours":23.251795455705675,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.251795455705675,"endHours":24.251795455705675,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.251795455705675,"endHours":25.251795455705675,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.251795455705675,"endHours":26.251795455705675,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.251795455705675,"endHours":27.251795455705675,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.251795455705675,"endHours":28.251795455705675,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.251795455705675,"endHours":29.251795455705675,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.251795455705675,"endHours":30.251795455705675,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.251795455705675,"endHours":31.251795455705675,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Kāladaṇḍa","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":-23.119052347879236,"eotMinutes":-8.635931491373626,"ayanamsa":-47.8931}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa 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 Kṛṣṇa Dvādaśī · Vikram -3079 undefined · Śaka -3214 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 13, 3137 BCE · Mathurā · Vidhyamitra","description":"January 13, 3137 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 07:15, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3136-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3136-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/-3136-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/-3136-01-13","x-default":"https://vidhyamitra.com/city/mathura/-3136-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T09:39:10.730Z","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":"2026-09-06T09:39:10.730Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T09:39:10.730Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}