{"id":"vidhyamitra:city-day:mathura:-3136-04-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3136-04-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3136-04-17","date_display":"April 17, 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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575740.770833,"kali_year":-34,"ahargana":-12724.7292,"sun":{"sidereal_longitude":59.1977,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.9541,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.7563,"elapsed_within_tithi_degrees":2.7563},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.9541,"elapsed_within_degrees":4.6207},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.1518},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575740.770833,"ahargana":-12724.7292,"kali_year":-34,"ayanamsa_lahiri":-47.8895,"grahas":{"sun":{"sidereal_longitude":59.1977,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":97.9541,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-2.66},"mars":{"sidereal_longitude":129.6801,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":76.9143,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":31.5962,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":89.0331,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":291.673,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":134.2174,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.2174,"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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575740.770833,"kali_year":-34,"ahargana":-12724.7292,"sun":{"sidereal_longitude":59.1977,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":97.9541,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.7563,"elapsed_within_tithi_degrees":2.7563},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.9541,"elapsed_within_degrees":4.6207},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.1518},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.66,"elongation":38.756},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.66,"opposition_distance":141.244}},"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":"06:06","sunsetLocal":"18:32","solarNoonLocal":"12:19","dayLengthHours":12.436822370344547,"dayLengthDisplay":"12 Hours 26 Mins 13 Secs","nightLengthDisplay":"11 Hours 33 Mins 47 Secs","moonriseLocal":"08:13","moonsetLocal":"21:35","rahuKala":{"name":"Rāhu Kāla","start":"09:12","end":"10:46","startHours":9.208146924418365,"endHours":10.762749720711435,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:52","end":"15:26","startHours":13.87195531329757,"endHours":15.42655810959064,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:06","end":"07:39","startHours":6.098941331832229,"endHours":7.653544128125297,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:25","startHours":9.000866551579291,"endHours":9.415427297257441,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:57","startHours":6.617142263929919,"endHours":6.948790860472441,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:44","startHours":11.902791771326351,"endHours":12.731913262682655,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:16","startHours":4.440698349119623,"endHours":5.269819840475926,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:06","startHours":5.06253946763685,"endHours":6.098941331832229,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:13","startHours":14.39015624539526,"endHours":15.219277736751565,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:20","end":"18:44","startHours":18.335763702176777,"endHours":18.735763702176776,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:32","end":"19:03","startHours":18.535763702176776,"endHours":19.053964634274465,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:17","end":"20:02","startHours":18.285763702176776,"endHours":20.035763702176776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:44","startHours":23.90279177132635,"endHours":24.731913262682653,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:06","end":"07:39","startHours":6.098941331832229,"endHours":7.653544128125297,"quality":"inauspicious"},{"name":"Śubha","start":"07:39","end":"09:12","startHours":7.653544128125297,"endHours":9.208146924418365,"quality":"auspicious"},{"name":"Roga","start":"09:12","end":"10:46","startHours":9.208146924418365,"endHours":10.762749720711435,"quality":"inauspicious"},{"name":"Udveg","start":"10:46","end":"12:19","startHours":10.762749720711435,"endHours":12.317352517004503,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"13:52","startHours":12.317352517004503,"endHours":13.87195531329757,"quality":"neutral"},{"name":"Labha","start":"13:52","end":"15:26","startHours":13.87195531329757,"endHours":15.42655810959064,"quality":"auspicious"},{"name":"Amṛta","start":"15:26","end":"16:59","startHours":15.42655810959064,"endHours":16.98116090588371,"quality":"auspicious"},{"name":"Kāla","start":"16:59","end":"18:32","startHours":16.98116090588371,"endHours":18.535763702176776,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:32","end":"19:59","startHours":18.535763702176776,"endHours":19.98116090588371,"quality":"auspicious"},{"name":"Amṛta","start":"19:59","end":"21:26","startHours":19.98116090588371,"endHours":21.42655810959064,"quality":"auspicious"},{"name":"Kāla","start":"21:26","end":"22:52","startHours":21.42655810959064,"endHours":22.87195531329757,"quality":"inauspicious"},{"name":"Śubha","start":"22:52","end":"00:19","startHours":22.87195531329757,"endHours":24.3173525170045,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:46","startHours":24.3173525170045,"endHours":25.762749720711433,"quality":"inauspicious"},{"name":"Udveg","start":"01:46","end":"03:12","startHours":25.762749720711433,"endHours":27.208146924418365,"quality":"inauspicious"},{"name":"Chala","start":"03:12","end":"04:39","startHours":27.208146924418365,"endHours":28.653544128125297,"quality":"neutral"},{"name":"Labha","start":"04:39","end":"06:06","startHours":28.653544128125297,"endHours":30.09894133183223,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.098941331832229,"endHours":7.098941331832229,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.098941331832229,"endHours":8.09894133183223,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.09894133183223,"endHours":9.09894133183223,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.09894133183223,"endHours":10.09894133183223,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.09894133183223,"endHours":11.09894133183223,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.09894133183223,"endHours":12.09894133183223,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.09894133183223,"endHours":13.09894133183223,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.09894133183223,"endHours":14.09894133183223,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.09894133183223,"endHours":15.09894133183223,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.09894133183223,"endHours":16.09894133183223,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.09894133183223,"endHours":17.09894133183223,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.09894133183223,"endHours":18.09894133183223,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.09894133183223,"endHours":19.09894133183223,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.09894133183223,"endHours":20.09894133183223,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.09894133183223,"endHours":21.09894133183223,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.09894133183223,"endHours":22.09894133183223,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.09894133183223,"endHours":23.09894133183223,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.09894133183223,"endHours":24.09894133183223,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.09894133183223,"endHours":25.09894133183223,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.09894133183223,"endHours":26.09894133183223,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.09894133183223,"endHours":27.09894133183223,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.09894133183223,"endHours":28.09894133183223,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.09894133183223,"endHours":29.09894133183223,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.09894133183223,"endHours":30.09894133183223,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.473037897286018,"eotMinutes":0.2640489797298191,"ayanamsa":-47.8895}},"calendars":{"vikram_samvat":-3079,"saka_samvat":-3214,"bengali_samvat":-3729,"malayalam_era":-3960,"nanakshahi_year":-4605,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla 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 Śukla Caturthī · Vikram -3079 undefined · Śaka -3214 undefined"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; 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 17, 3137 BCE · Mathurā · Vidhyamitra","description":"April 17, 3137 BCE for Mathurā: Śukla Caturthī, sūryodaya 06:06, sūryāsta 18:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3136-04-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3136-04-17","sa":"https://sa.vidhyamitra.com/city/mathura/-3136-04-17","hi":"https://hi.vidhyamitra.com/city/mathura/-3136-04-17","x-default":"https://vidhyamitra.com/city/mathura/-3136-04-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T15:22:39.929Z","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":"2026-09-11T15:22:39.929Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T15:22:39.929Z","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"}}}