{"id":"vidhyamitra:city-day:mathura:2019-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2019-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2019-10-16","date_display":"October 16, 2019 CE","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":2019,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458772.770833,"kali_year":5121,"ahargana":1870307.2708,"sun":{"sidereal_longitude":177.4806,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":23.3514,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8708,"elapsed_within_tithi_degrees":1.8708},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.3514,"elapsed_within_degrees":10.018},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.8319},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2019,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458772.770833,"ahargana":1870307.2708,"kali_year":5121,"ayanamsa_lahiri":24.1294,"grahas":{"sun":{"sidereal_longitude":178.26165600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":22.591856000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-3.8468},"mars":{"sidereal_longitude":163.231356,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":202.22375599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":236.36895600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.74215600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":260.34575599999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":82.1202,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":262.1202,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":2019,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458772.770833,"kali_year":5121,"ahargana":1870307.2708,"sun":{"sidereal_longitude":177.4806,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":23.3514,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.8708,"elapsed_within_tithi_degrees":1.8708},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.3514,"elapsed_within_degrees":10.018},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.8319},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.847,"elongation":154.129},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.847,"opposition_distance":25.871}},"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":"06:19","sunsetLocal":"17:50","solarNoonLocal":"12:04","dayLengthHours":11.516985148931429,"dayLengthDisplay":"11 Hours 31 Mins 01 Secs","nightLengthDisplay":"12 Hours 28 Mins 59 Secs","moonriseLocal":"19:03","moonsetLocal":"08:21","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:31","startHours":12.070957840480316,"endHours":13.510580984096745,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:12","startHours":7.75208840963103,"endHours":9.191711553247458,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:04","startHours":10.631334696863888,"endHours":12.070957840480316,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.999761800765269,"endHours":9.38366130572965,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:06","startHours":6.7923396472200785,"endHours":7.0994592511915835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.687058335515935,"endHours":12.454857345444697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.776867246157078,"endHours":5.54466625608584,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:19","startHours":5.3527165036036495,"endHours":6.312465266014602,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.990455365302221,"endHours":14.758254375230983,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.62945041494603,"endHours":18.02945041494603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.82945041494603,"endHours":18.309324796151508,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.57945041494603,"endHours":19.32945041494603,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.687058335515935,"endHours":24.4548573454447,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:19","end":"07:45","startHours":6.312465266014602,"endHours":7.75208840963103,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:12","startHours":7.75208840963103,"endHours":9.191711553247458,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:38","startHours":9.191711553247458,"endHours":10.631334696863888,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:04","startHours":10.631334696863888,"endHours":12.070957840480316,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:31","startHours":12.070957840480316,"endHours":13.510580984096745,"quality":"inauspicious"},{"name":"Udveg","start":"13:31","end":"14:57","startHours":13.510580984096745,"endHours":14.950204127713175,"quality":"inauspicious"},{"name":"Chala","start":"14:57","end":"16:23","startHours":14.950204127713175,"endHours":16.3898272713296,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:50","startHours":16.3898272713296,"endHours":17.82945041494603,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:50","end":"19:23","startHours":17.82945041494603,"endHours":19.3898272713296,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"20:57","startHours":19.3898272713296,"endHours":20.950204127713175,"quality":"neutral"},{"name":"Labha","start":"20:57","end":"22:31","startHours":20.950204127713175,"endHours":22.510580984096745,"quality":"auspicious"},{"name":"Amṛta","start":"22:31","end":"00:04","startHours":22.510580984096745,"endHours":24.070957840480318,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:38","startHours":24.070957840480318,"endHours":25.631334696863888,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:12","startHours":25.631334696863888,"endHours":27.19171155324746,"quality":"auspicious"},{"name":"Roga","start":"03:12","end":"04:45","startHours":27.19171155324746,"endHours":28.75208840963103,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:19","startHours":28.75208840963103,"endHours":30.312465266014602,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.312465266014602,"endHours":7.312465266014602,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.312465266014602,"endHours":8.312465266014602,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.312465266014602,"endHours":9.312465266014602,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.312465266014602,"endHours":10.312465266014602,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.312465266014602,"endHours":11.312465266014602,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.312465266014602,"endHours":12.312465266014602,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.312465266014602,"endHours":13.312465266014602,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.312465266014602,"endHours":14.312465266014602,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.312465266014602,"endHours":15.312465266014602,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.312465266014602,"endHours":16.312465266014602,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.312465266014602,"endHours":17.312465266014602,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.312465266014602,"endHours":18.312465266014602,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.312465266014602,"endHours":19.312465266014602,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.312465266014602,"endHours":20.312465266014602,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.312465266014602,"endHours":21.312465266014602,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.312465266014602,"endHours":22.312465266014602,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.312465266014602,"endHours":23.312465266014602,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.312465266014602,"endHours":24.312465266014602,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.312465266014602,"endHours":25.312465266014602,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.312465266014602,"endHours":26.312465266014602,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.312465266014602,"endHours":27.312465266014602,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.312465266014602,"endHours":28.312465266014602,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.312465266014602,"endHours":29.312465266014602,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.312465266014602,"endHours":30.312465266014602,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.714249494820466,"eotMinutes":15.04772957118102,"ayanamsa":24.1294}},"calendars":{"vikram_samvat":2076,"vikram_samvatsara":"Paridhāvi","saka_samvat":1941,"saka_samvatsara":"Vikāri","bengali_samvat":1426,"malayalam_era":1195,"nanakshahi_year":550,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Tṛtīyā · Vikram 2076 Paridhāvi · Śaka 1941 Vikāri"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 October 16, 2019 CE · Mathurā · Vidhyamitra","description":"October 16, 2019 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 06:19, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2019-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2019-10-16","sa":"https://sa.vidhyamitra.com/city/mathura/2019-10-16","hi":"https://hi.vidhyamitra.com/city/mathura/2019-10-16","x-default":"https://vidhyamitra.com/city/mathura/2019-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-23T21:49:58.552Z","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":"2026-08-23T21:49:58.552Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-23T21:49:58.552Z","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"}}}