{"id":"vidhyamitra:city-day:mathura:-0511-03-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0511-03-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-03-15","date_display":"March 15, 512 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":-511,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534488.770833,"kali_year":2591,"ahargana":946023.2708,"sun":{"sidereal_longitude":5.2972,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":134.0479,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.7507,"elapsed_within_tithi_degrees":8.7507},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.0479,"elapsed_within_degrees":0.7146},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.3452},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"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":-511,"month":3,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534488.770833,"ahargana":946023.2708,"kali_year":2591,"ayanamsa_lahiri":-11.221,"grahas":{"sun":{"sidereal_longitude":5.2972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":134.0479,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":2.8249},"mars":{"sidereal_longitude":12.1654,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":355.9796,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":117.5999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":29.7129,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":310.6763,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":95.1345,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":275.1345,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534488.770833,"kali_year":2591,"ahargana":946023.2708,"sun":{"sidereal_longitude":5.2972,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":134.0479,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":128.7507,"elapsed_within_tithi_degrees":8.7507},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.0479,"elapsed_within_degrees":0.7146},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.3452},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.825,"elongation":128.751},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.825,"opposition_distance":51.249}},"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":"06:30","sunsetLocal":"18:28","solarNoonLocal":"12:29","dayLengthHours":11.961979813914168,"dayLengthDisplay":"11 Hours 57 Mins 43 Secs","nightLengthDisplay":"12 Hours 02 Mins 17 Secs","moonriseLocal":"14:19","moonsetLocal":"03:49","rahuKala":{"name":"Rāhu Kāla","start":"09:30","end":"10:59","startHours":9.492104813408735,"endHours":10.987352290148007,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:59","end":"15:28","startHours":13.977847243626549,"endHours":15.473094720365818,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:30","end":"08:00","startHours":6.501609859930193,"endHours":7.996857336669464,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:18","end":"09:41","startHours":9.292738483176832,"endHours":9.691471143640637,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:19","startHours":7.00002568550995,"endHours":7.319011813880994,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:53","startHours":12.08386710642347,"endHours":12.881332427351081,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:54","end":"05:42","startHours":4.906679218074971,"endHours":5.704144539002582,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:30","startHours":5.504778208770679,"endHours":6.501609859930193,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:16","startHours":14.476263069206304,"endHours":15.273728390133915,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.26358967384436,"endHours":18.66358967384436,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:58","startHours":18.46358967384436,"endHours":18.962005499424116,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.21358967384436,"endHours":19.96358967384436,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:53","startHours":24.08386710642347,"endHours":24.881332427351083,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:30","end":"08:00","startHours":6.501609859930193,"endHours":7.996857336669464,"quality":"inauspicious"},{"name":"Śubha","start":"08:00","end":"09:30","startHours":7.996857336669464,"endHours":9.492104813408735,"quality":"auspicious"},{"name":"Roga","start":"09:30","end":"10:59","startHours":9.492104813408735,"endHours":10.987352290148007,"quality":"inauspicious"},{"name":"Udveg","start":"10:59","end":"12:29","startHours":10.987352290148007,"endHours":12.482599766887276,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"13:59","startHours":12.482599766887276,"endHours":13.977847243626549,"quality":"neutral"},{"name":"Labha","start":"13:59","end":"15:28","startHours":13.977847243626549,"endHours":15.473094720365818,"quality":"auspicious"},{"name":"Amṛta","start":"15:28","end":"16:58","startHours":15.473094720365818,"endHours":16.968342197105088,"quality":"auspicious"},{"name":"Kāla","start":"16:58","end":"18:28","startHours":16.968342197105088,"endHours":18.46358967384436,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:28","end":"19:58","startHours":18.46358967384436,"endHours":19.96834219710509,"quality":"auspicious"},{"name":"Amṛta","start":"19:58","end":"21:28","startHours":19.96834219710509,"endHours":21.47309472036582,"quality":"auspicious"},{"name":"Kāla","start":"21:28","end":"22:59","startHours":21.47309472036582,"endHours":22.97784724362655,"quality":"inauspicious"},{"name":"Śubha","start":"22:59","end":"00:29","startHours":22.97784724362655,"endHours":24.482599766887276,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"01:59","startHours":24.482599766887276,"endHours":25.987352290148007,"quality":"inauspicious"},{"name":"Udveg","start":"01:59","end":"03:30","startHours":25.987352290148007,"endHours":27.492104813408737,"quality":"inauspicious"},{"name":"Chala","start":"03:30","end":"05:00","startHours":27.492104813408737,"endHours":28.996857336669464,"quality":"neutral"},{"name":"Labha","start":"05:00","end":"06:30","startHours":28.996857336669464,"endHours":30.50160985993019,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.501609859930193,"endHours":7.501609859930193,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.501609859930193,"endHours":8.501609859930193,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.501609859930193,"endHours":9.501609859930193,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.501609859930193,"endHours":10.501609859930193,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.501609859930193,"endHours":11.501609859930193,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.501609859930193,"endHours":12.501609859930193,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.501609859930193,"endHours":13.501609859930193,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.501609859930193,"endHours":14.501609859930193,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.501609859930193,"endHours":15.501609859930193,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.501609859930193,"endHours":16.50160985993019,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.50160985993019,"endHours":17.50160985993019,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.50160985993019,"endHours":18.50160985993019,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.50160985993019,"endHours":19.50160985993019,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.50160985993019,"endHours":20.50160985993019,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.50160985993019,"endHours":21.50160985993019,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.50160985993019,"endHours":22.50160985993019,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.50160985993019,"endHours":23.50160985993019,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.50160985993019,"endHours":24.50160985993019,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.50160985993019,"endHours":25.50160985993019,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.50160985993019,"endHours":26.50160985993019,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.50160985993019,"endHours":27.50160985993019,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.50160985993019,"endHours":28.50160985993019,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.50160985993019,"endHours":29.50160985993019,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.50160985993019,"endHours":30.50160985993019,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.352553223559084,"eotMinutes":-9.650786013236482,"ayanamsa":-11.221}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ekādaśī · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[{"id":"mohini-ekadashi","name":"Mohinī Ekādaśī","name_sanskrit":"मोहिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (Mohinī form)","significance":"Mohinī-form of Viṣṇu deceived asuras during samudra-mathana for amṛta.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3,"sources":["Bhāgavata 8.9"]},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 Mohinī Ekādaśī · Ekādaśī 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 March 15, 512 BCE · Mathurā · Vidhyamitra","description":"March 15, 512 BCE for Mathurā: Śukla Ekādaśī, sūryodaya 06:30, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0511-03-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0511-03-15","sa":"https://sa.vidhyamitra.com/city/mathura/-0511-03-15","hi":"https://hi.vidhyamitra.com/city/mathura/-0511-03-15","x-default":"https://vidhyamitra.com/city/mathura/-0511-03-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T03:22:19.245Z","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":"2026-08-12T03:22:19.245Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T03:22:19.245Z","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"}}}