{"id":"vidhyamitra:city-day:mathura:-0511-03-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0511-03-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-03-17","date_display":"March 17, 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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534490.770833,"kali_year":2591,"ahargana":946025.2708,"sun":{"sidereal_longitude":7.2419,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":162.8498,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.608,"elapsed_within_tithi_degrees":11.608},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.8498,"elapsed_within_degrees":2.8498},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.0917},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534490.770833,"ahargana":946025.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2209,"grahas":{"sun":{"sidereal_longitude":7.2419,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":162.8498,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":4.1664},"mars":{"sidereal_longitude":13.7186,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":359.5338,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":117.6226,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":32.2072,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":310.8507,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":95.0286,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":275.0286,"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":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534490.770833,"kali_year":2591,"ahargana":946025.2708,"sun":{"sidereal_longitude":7.2419,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":162.8498,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.608,"elapsed_within_tithi_degrees":11.608},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.8498,"elapsed_within_degrees":2.8498},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.0917},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.166,"elongation":155.608},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.166,"opposition_distance":24.392}},"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":"06:28","sunsetLocal":"18:29","solarNoonLocal":"12:28","dayLengthHours":12.015486201199735,"dayLengthDisplay":"12 Hours 00 Mins 56 Secs","nightLengthDisplay":"11 Hours 59 Mins 04 Secs","moonriseLocal":"16:25","moonsetLocal":"05:16","rahuKala":{"name":"Rāhu Kāla","start":"07:58","end":"09:28","startHours":7.967010031087141,"endHours":9.468945806237109,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:58","end":"12:28","startHours":10.970881581387076,"endHours":12.472817356537043,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:58","end":"15:29","startHours":13.97475313168701,"endHours":15.476688906836976,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:40","startHours":9.26868770288378,"endHours":9.669203909590436,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:17","startHours":6.965719514320496,"endHours":7.286132479685823,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:52","startHours":12.072301149830384,"endHours":12.873333563243701,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:40","startHours":4.863009429110543,"endHours":5.664041842523859,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:28","startHours":5.4637837391705295,"endHours":6.465074255937174,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:17","startHours":14.475398390070332,"endHours":15.276430803483647,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.28056045713691,"endHours":18.68056045713691,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"18:59","startHours":18.48056045713691,"endHours":18.981205715520233,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.23056045713691,"endHours":19.98056045713691,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:52","startHours":24.072301149830384,"endHours":24.8733335632437,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:28","end":"07:58","startHours":6.465074255937174,"endHours":7.967010031087141,"quality":"auspicious"},{"name":"Kāla","start":"07:58","end":"09:28","startHours":7.967010031087141,"endHours":9.468945806237109,"quality":"inauspicious"},{"name":"Śubha","start":"09:28","end":"10:58","startHours":9.468945806237109,"endHours":10.970881581387076,"quality":"auspicious"},{"name":"Roga","start":"10:58","end":"12:28","startHours":10.970881581387076,"endHours":12.472817356537043,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:58","startHours":12.472817356537043,"endHours":13.97475313168701,"quality":"inauspicious"},{"name":"Chala","start":"13:58","end":"15:29","startHours":13.97475313168701,"endHours":15.476688906836976,"quality":"neutral"},{"name":"Labha","start":"15:29","end":"16:59","startHours":15.476688906836976,"endHours":16.978624681986943,"quality":"auspicious"},{"name":"Amṛta","start":"16:59","end":"18:29","startHours":16.978624681986943,"endHours":18.48056045713691,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:29","end":"19:59","startHours":18.48056045713691,"endHours":19.978624681986943,"quality":"neutral"},{"name":"Labha","start":"19:59","end":"21:29","startHours":19.978624681986943,"endHours":21.476688906836976,"quality":"auspicious"},{"name":"Amṛta","start":"21:29","end":"22:58","startHours":21.476688906836976,"endHours":22.97475313168701,"quality":"auspicious"},{"name":"Kāla","start":"22:58","end":"00:28","startHours":22.97475313168701,"endHours":24.472817356537043,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"01:58","startHours":24.472817356537043,"endHours":25.970881581387076,"quality":"auspicious"},{"name":"Roga","start":"01:58","end":"03:28","startHours":25.970881581387076,"endHours":27.46894580623711,"quality":"inauspicious"},{"name":"Udveg","start":"03:28","end":"04:58","startHours":27.46894580623711,"endHours":28.967010031087142,"quality":"inauspicious"},{"name":"Chala","start":"04:58","end":"06:28","startHours":28.967010031087142,"endHours":30.465074255937175,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:28","end":"07:28","startHours":6.465074255937174,"endHours":7.465074255937174,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:28","end":"08:28","startHours":7.465074255937174,"endHours":8.465074255937175,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:28","end":"09:28","startHours":8.465074255937175,"endHours":9.465074255937175,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:28","end":"10:28","startHours":9.465074255937175,"endHours":10.465074255937175,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:28","end":"11:28","startHours":10.465074255937175,"endHours":11.465074255937175,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:28","end":"12:28","startHours":11.465074255937175,"endHours":12.465074255937175,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:28","end":"13:28","startHours":12.465074255937175,"endHours":13.465074255937175,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:28","end":"14:28","startHours":13.465074255937175,"endHours":14.465074255937175,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:28","end":"15:28","startHours":14.465074255937175,"endHours":15.465074255937175,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:28","end":"16:28","startHours":15.465074255937175,"endHours":16.465074255937175,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:28","end":"17:28","startHours":16.465074255937175,"endHours":17.465074255937175,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:28","end":"18:28","startHours":17.465074255937175,"endHours":18.465074255937175,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:28","end":"19:28","startHours":18.465074255937175,"endHours":19.465074255937175,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:28","end":"20:28","startHours":19.465074255937175,"endHours":20.465074255937175,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:28","end":"21:28","startHours":20.465074255937175,"endHours":21.465074255937175,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:28","end":"22:28","startHours":21.465074255937175,"endHours":22.465074255937175,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:28","end":"23:28","startHours":22.465074255937175,"endHours":23.465074255937175,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:28","end":"00:28","startHours":23.465074255937175,"endHours":24.465074255937175,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:28","end":"01:28","startHours":24.465074255937175,"endHours":25.465074255937175,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:28","end":"02:28","startHours":25.465074255937175,"endHours":26.465074255937175,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:28","end":"03:28","startHours":26.465074255937175,"endHours":27.465074255937175,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:28","end":"04:28","startHours":27.465074255937175,"endHours":28.465074255937175,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:28","end":"05:28","startHours":28.465074255937175,"endHours":29.465074255937175,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:28","end":"06:28","startHours":29.465074255937175,"endHours":30.465074255937175,"planetary_lord":"Venus"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-1.5815065008168194,"eotMinutes":-9.063841392222612,"ayanamsa":-11.2209}},"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 Trayodaśī · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Somavāra (Monday) — 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 17, 512 BCE · Mathurā · Vidhyamitra","description":"March 17, 512 BCE for Mathurā: Śukla Trayodaśī, sūryodaya 06:28, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0511-03-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0511-03-17","sa":"https://sa.vidhyamitra.com/city/mathura/-0511-03-17","hi":"https://hi.vidhyamitra.com/city/mathura/-0511-03-17","x-default":"https://vidhyamitra.com/city/mathura/-0511-03-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T00:41:31.797Z","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":"2026-08-12T00:41:31.797Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T00:41:31.797Z","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"}}}