{"id":"vidhyamitra:city-day:mathura:-3156-05-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3156-05-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-05-11","date_display":"May 11, 3157 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":-3156,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568459.770833,"kali_year":-54,"ahargana":-20005.7292,"sun":{"sidereal_longitude":82.09,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":283.8749,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.7849,"elapsed_within_tithi_degrees":9.7849},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.8749,"elapsed_within_degrees":3.8749},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.9649},"karana":{"half_tithi_index":33,"name":"Gara"},"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":-3156,"month":5,"day":11,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568459.770833,"ahargana":-20005.7292,"kali_year":-54,"ayanamsa_lahiri":-48.168,"grahas":{"sun":{"sidereal_longitude":82.09,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":283.8749,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":3.735},"mars":{"sidereal_longitude":1.5988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":107.2082,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":131.1285,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":45.0437,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":52.9021,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":159.9998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.9998,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":-3156,"month":5,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568459.770833,"kali_year":-54,"ahargana":-20005.7292,"sun":{"sidereal_longitude":82.09,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":283.8749,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":201.7849,"elapsed_within_tithi_degrees":9.7849},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.8749,"elapsed_within_degrees":3.8749},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.9649},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.735,"elongation":158.215},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.735,"opposition_distance":21.785}},"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":"05:44","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.036570173480971,"dayLengthDisplay":"13 Hours 02 Mins 12 Secs","nightLengthDisplay":"10 Hours 57 Mins 48 Secs","moonriseLocal":"20:22","moonsetLocal":"07:04","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:16","startHours":10.630315567249735,"endHours":12.259886838934857,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:31","end":"17:09","startHours":15.5190293823051,"endHours":17.148600653990222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:00","startHours":7.371173023879493,"endHours":9.000744295564614,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.783468126006598,"endHours":9.21802046512263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.284792176089411,"endHours":6.632434047382237,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.825334499818823,"endHours":12.694439178050889,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:52","startHours":4.003392395730241,"endHours":4.872497073962307,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:44","startHours":4.65522090440429,"endHours":5.741601752194371,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.432648534515018,"endHours":15.301753212747082,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.578171925675342,"endHours":18.97817192567534,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.77817192567534,"endHours":19.321362349570382,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.52817192567534,"endHours":20.27817192567534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.825334499818823,"endHours":24.694439178050885,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:44","end":"07:22","startHours":5.741601752194371,"endHours":7.371173023879493,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:00","startHours":7.371173023879493,"endHours":9.000744295564614,"quality":"auspicious"},{"name":"Amṛta","start":"09:00","end":"10:38","startHours":9.000744295564614,"endHours":10.630315567249735,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:16","startHours":10.630315567249735,"endHours":12.259886838934857,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:53","startHours":12.259886838934857,"endHours":13.889458110619977,"quality":"auspicious"},{"name":"Roga","start":"13:53","end":"15:31","startHours":13.889458110619977,"endHours":15.5190293823051,"quality":"inauspicious"},{"name":"Udveg","start":"15:31","end":"17:09","startHours":15.5190293823051,"endHours":17.148600653990222,"quality":"inauspicious"},{"name":"Chala","start":"17:09","end":"18:47","startHours":17.148600653990222,"endHours":18.77817192567534,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:47","end":"20:09","startHours":18.77817192567534,"endHours":20.14860065399022,"quality":"inauspicious"},{"name":"Udveg","start":"20:09","end":"21:31","startHours":20.14860065399022,"endHours":21.5190293823051,"quality":"inauspicious"},{"name":"Chala","start":"21:31","end":"22:53","startHours":21.5190293823051,"endHours":22.889458110619977,"quality":"neutral"},{"name":"Labha","start":"22:53","end":"00:16","startHours":22.889458110619977,"endHours":24.259886838934854,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:38","startHours":24.259886838934854,"endHours":25.630315567249735,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:00","startHours":25.630315567249735,"endHours":27.000744295564612,"quality":"inauspicious"},{"name":"Śubha","start":"03:00","end":"04:22","startHours":27.000744295564612,"endHours":28.371173023879493,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:44","startHours":28.371173023879493,"endHours":29.74160175219437,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.741601752194371,"endHours":6.741601752194371,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.741601752194371,"endHours":7.741601752194371,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.741601752194371,"endHours":8.74160175219437,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.74160175219437,"endHours":9.74160175219437,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.74160175219437,"endHours":10.74160175219437,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.74160175219437,"endHours":11.74160175219437,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.74160175219437,"endHours":12.74160175219437,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.74160175219437,"endHours":13.74160175219437,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.74160175219437,"endHours":14.74160175219437,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.74160175219437,"endHours":15.74160175219437,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.74160175219437,"endHours":16.74160175219437,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.74160175219437,"endHours":17.74160175219437,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.74160175219437,"endHours":18.74160175219437,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.74160175219437,"endHours":19.74160175219437,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.74160175219437,"endHours":20.74160175219437,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.74160175219437,"endHours":21.74160175219437,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.74160175219437,"endHours":22.74160175219437,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.74160175219437,"endHours":23.74160175219437,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.74160175219437,"endHours":24.74160175219437,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.74160175219437,"endHours":25.74160175219437,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.74160175219437,"endHours":26.74160175219437,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.74160175219437,"endHours":27.74160175219437,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.74160175219437,"endHours":28.74160175219437,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.74160175219437,"endHours":29.74160175219437,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.824183854877786,"eotMinutes":3.71198966390865,"ayanamsa":-48.168}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Dvitīyā · Vikram -3099 undefined · Śaka -3234 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 May 11, 3157 BCE · Mathurā · Vidhyamitra","description":"May 11, 3157 BCE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 05:44, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3156-05-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3156-05-11","sa":"https://sa.vidhyamitra.com/city/mathura/-3156-05-11","hi":"https://hi.vidhyamitra.com/city/mathura/-3156-05-11","x-default":"https://vidhyamitra.com/city/mathura/-3156-05-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T08:21:02.988Z","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":"2026-09-11T08:21:02.988Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T08:21:02.988Z","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"}}}