{"id":"vidhyamitra:city-day:mathura:-3136-04-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3136-04-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-04-10","date_display":"April 10, 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":4,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575733.770833,"kali_year":-34,"ahargana":-12731.7292,"sun":{"sidereal_longitude":52.5547,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.0069,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.4522,"elapsed_within_tithi_degrees":2.4522},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.0069,"elapsed_within_degrees":7.0069},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.5616},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":-3136,"month":4,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575733.770833,"ahargana":-12731.7292,"kali_year":-34,"ayanamsa_lahiri":-47.8898,"grahas":{"sun":{"sidereal_longitude":52.5547,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":7.0069,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-3.5648},"mars":{"sidereal_longitude":125.9913,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":64.6326,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":30.003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":80.6357,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":291.8585,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":134.5883,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.5883,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"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":4,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575733.770833,"kali_year":-34,"ahargana":-12731.7292,"sun":{"sidereal_longitude":52.5547,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":7.0069,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.4522,"elapsed_within_tithi_degrees":2.4522},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":7.0069,"elapsed_within_degrees":7.0069},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.5616},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.565,"elongation":45.548},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.565,"opposition_distance":134.452}},"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":"06:13","sunsetLocal":"18:29","solarNoonLocal":"12:21","dayLengthHours":12.253977383545028,"dayLengthDisplay":"12 Hours 15 Mins 14 Secs","nightLengthDisplay":"11 Hours 44 Mins 46 Secs","moonriseLocal":"03:48","moonsetLocal":"14:49","rahuKala":{"name":"Rāhu Kāla","start":"09:17","end":"10:49","startHours":9.285043246866497,"endHours":10.816790419809625,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:53","end":"15:25","startHours":13.880284765695881,"endHours":15.41203193863901,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:13","end":"07:45","startHours":6.221548900980239,"endHours":7.753296073923368,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:29","startHours":9.08081029047408,"endHours":9.489276203258914,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:04","startHours":6.732131291961282,"endHours":7.058904022189149,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:45","startHours":11.940071679967918,"endHours":12.757003505537586,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:24","startHours":4.587685249840902,"endHours":5.40461707541057,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:13","startHours":5.200384119018153,"endHours":6.221548900980239,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:12","startHours":14.390867156676922,"endHours":15.20779898224659,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.275526284525267,"endHours":18.675526284525265,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"18:59","startHours":18.475526284525266,"endHours":18.98610867550631,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.225526284525266,"endHours":19.975526284525266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:45","startHours":23.940071679967918,"endHours":24.757003505537586,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:13","end":"07:45","startHours":6.221548900980239,"endHours":7.753296073923368,"quality":"inauspicious"},{"name":"Śubha","start":"07:45","end":"09:17","startHours":7.753296073923368,"endHours":9.285043246866497,"quality":"auspicious"},{"name":"Roga","start":"09:17","end":"10:49","startHours":9.285043246866497,"endHours":10.816790419809625,"quality":"inauspicious"},{"name":"Udveg","start":"10:49","end":"12:21","startHours":10.816790419809625,"endHours":12.348537592752752,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"13:53","startHours":12.348537592752752,"endHours":13.880284765695881,"quality":"neutral"},{"name":"Labha","start":"13:53","end":"15:25","startHours":13.880284765695881,"endHours":15.41203193863901,"quality":"auspicious"},{"name":"Amṛta","start":"15:25","end":"16:57","startHours":15.41203193863901,"endHours":16.94377911158214,"quality":"auspicious"},{"name":"Kāla","start":"16:57","end":"18:29","startHours":16.94377911158214,"endHours":18.475526284525266,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:29","end":"19:57","startHours":18.475526284525266,"endHours":19.94377911158214,"quality":"auspicious"},{"name":"Amṛta","start":"19:57","end":"21:25","startHours":19.94377911158214,"endHours":21.41203193863901,"quality":"auspicious"},{"name":"Kāla","start":"21:25","end":"22:53","startHours":21.41203193863901,"endHours":22.88028476569588,"quality":"inauspicious"},{"name":"Śubha","start":"22:53","end":"00:21","startHours":22.88028476569588,"endHours":24.348537592752752,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:49","startHours":24.348537592752752,"endHours":25.816790419809625,"quality":"inauspicious"},{"name":"Udveg","start":"01:49","end":"03:17","startHours":25.816790419809625,"endHours":27.285043246866493,"quality":"inauspicious"},{"name":"Chala","start":"03:17","end":"04:45","startHours":27.285043246866493,"endHours":28.753296073923366,"quality":"neutral"},{"name":"Labha","start":"04:45","end":"06:13","startHours":28.753296073923366,"endHours":30.22154890098024,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.221548900980239,"endHours":7.221548900980239,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.221548900980239,"endHours":8.221548900980238,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.221548900980238,"endHours":9.221548900980238,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.221548900980238,"endHours":10.221548900980238,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.221548900980238,"endHours":11.221548900980238,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.221548900980238,"endHours":12.221548900980238,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.221548900980238,"endHours":13.221548900980238,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.221548900980238,"endHours":14.221548900980238,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.221548900980238,"endHours":15.221548900980238,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.221548900980238,"endHours":16.22154890098024,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.22154890098024,"endHours":17.22154890098024,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.22154890098024,"endHours":18.22154890098024,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.22154890098024,"endHours":19.22154890098024,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.22154890098024,"endHours":20.22154890098024,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.22154890098024,"endHours":21.22154890098024,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.22154890098024,"endHours":22.22154890098024,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.22154890098024,"endHours":23.22154890098024,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.22154890098024,"endHours":24.22154890098024,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.22154890098024,"endHours":25.22154890098024,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.22154890098024,"endHours":26.22154890098024,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.22154890098024,"endHours":27.22154890098024,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.22154890098024,"endHours":28.22154890098024,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.22154890098024,"endHours":29.22154890098024,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.22154890098024,"endHours":30.22154890098024,"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":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.8536563366566174,"eotMinutes":-1.6070555651651,"ayanamsa":-47.8898}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Dvādaśī · Vikram -3079 undefined · Śaka -3214 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 April 10, 3137 BCE · Mathurā · Vidhyamitra","description":"April 10, 3137 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 06:13, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3136-04-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3136-04-10","sa":"https://sa.vidhyamitra.com/city/mathura/-3136-04-10","hi":"https://hi.vidhyamitra.com/city/mathura/-3136-04-10","x-default":"https://vidhyamitra.com/city/mathura/-3136-04-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T11:13:57.361Z","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":"2026-09-10T11:13:57.361Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T11:13:57.361Z","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"}}}