{"id":"vidhyamitra:city-day:mathura:-3149-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3149-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3149-09-20","date_display":"September 20, 3150 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":-3149,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571147.770833,"kali_year":-47,"ahargana":-17317.7292,"sun":{"sidereal_longitude":209.863,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":49.6821,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.8191,"elapsed_within_tithi_degrees":7.8191},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.6821,"elapsed_within_degrees":9.6821},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.5451},"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":-3149,"month":9,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":571147.770833,"ahargana":-17317.7292,"kali_year":-47,"ayanamsa_lahiri":-48.0652,"grahas":{"sun":{"sidereal_longitude":209.863,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":49.6821,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":2.3899},"mars":{"sidereal_longitude":252.8442,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":202.735,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":356.2492,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":256.2355,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":155.3117,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":17.5766,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":197.5766,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"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":-3149,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":571147.770833,"kali_year":-47,"ahargana":-17317.7292,"sun":{"sidereal_longitude":209.863,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":49.6821,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.8191,"elapsed_within_tithi_degrees":7.8191},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":49.6821,"elapsed_within_degrees":9.6821},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.5451},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.39,"elongation":160.181},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.39,"opposition_distance":19.819}},"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":"05:53","sunsetLocal":"18:31","solarNoonLocal":"12:12","dayLengthHours":12.624655144499094,"dayLengthDisplay":"12 Hours 37 Mins 29 Secs","nightLengthDisplay":"11 Hours 22 Mins 31 Secs","moonriseLocal":"19:27","moonsetLocal":"07:35","rahuKala":{"name":"Rāhu Kāla","start":"10:37","end":"12:12","startHours":10.621222860911708,"endHours":12.199304753974094,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:21","end":"16:56","startHours":15.355468540098869,"endHours":16.933550433161255,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:28","end":"09:03","startHours":7.465059074786934,"endHours":9.043140967849322,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.832730048774335,"endHours":9.253551886924306,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.41300447941201,"endHours":6.749661949931985,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.778482915824124,"endHours":12.620126592124063,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:03","startHours":4.203689829124668,"endHours":5.045333505424607,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:53","startHours":4.834922586349623,"endHours":5.886977181724547,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:09","startHours":14.303413944723943,"endHours":15.145057621023883,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.31163232622364,"endHours":18.71163232622364,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:02","startHours":18.51163232622364,"endHours":19.037659623911104,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.26163232622364,"endHours":20.01163232622364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.778482915824124,"endHours":24.620126592124063,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:53","end":"07:28","startHours":5.886977181724547,"endHours":7.465059074786934,"quality":"neutral"},{"name":"Labha","start":"07:28","end":"09:03","startHours":7.465059074786934,"endHours":9.043140967849322,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:37","startHours":9.043140967849322,"endHours":10.621222860911708,"quality":"auspicious"},{"name":"Kāla","start":"10:37","end":"12:12","startHours":10.621222860911708,"endHours":12.199304753974094,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"13:47","startHours":12.199304753974094,"endHours":13.777386647036481,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:21","startHours":13.777386647036481,"endHours":15.355468540098869,"quality":"inauspicious"},{"name":"Udveg","start":"15:21","end":"16:56","startHours":15.355468540098869,"endHours":16.933550433161255,"quality":"inauspicious"},{"name":"Chala","start":"16:56","end":"18:31","startHours":16.933550433161255,"endHours":18.51163232622364,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:31","end":"19:56","startHours":18.51163232622364,"endHours":19.933550433161255,"quality":"inauspicious"},{"name":"Udveg","start":"19:56","end":"21:21","startHours":19.933550433161255,"endHours":21.35546854009887,"quality":"inauspicious"},{"name":"Chala","start":"21:21","end":"22:47","startHours":21.35546854009887,"endHours":22.77738664703648,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:12","startHours":22.77738664703648,"endHours":24.199304753974094,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:37","startHours":24.199304753974094,"endHours":25.621222860911708,"quality":"auspicious"},{"name":"Kāla","start":"01:37","end":"03:03","startHours":25.621222860911708,"endHours":27.043140967849318,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:28","startHours":27.043140967849318,"endHours":28.465059074786932,"quality":"auspicious"},{"name":"Roga","start":"04:28","end":"05:53","startHours":28.465059074786932,"endHours":29.886977181724546,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.886977181724547,"endHours":6.886977181724547,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.886977181724547,"endHours":7.886977181724547,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.886977181724547,"endHours":8.886977181724546,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.886977181724546,"endHours":9.886977181724546,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.886977181724546,"endHours":10.886977181724546,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.886977181724546,"endHours":11.886977181724546,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.886977181724546,"endHours":12.886977181724546,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.886977181724546,"endHours":13.886977181724546,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.886977181724546,"endHours":14.886977181724546,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.886977181724546,"endHours":15.886977181724546,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.886977181724546,"endHours":16.886977181724546,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.886977181724546,"endHours":17.886977181724546,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.886977181724546,"endHours":18.886977181724546,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.886977181724546,"endHours":19.886977181724546,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.886977181724546,"endHours":20.886977181724546,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.886977181724546,"endHours":21.886977181724546,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.886977181724546,"endHours":22.886977181724546,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.886977181724546,"endHours":23.886977181724546,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.886977181724546,"endHours":24.886977181724546,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.886977181724546,"endHours":25.886977181724546,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.886977181724546,"endHours":26.886977181724546,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.886977181724546,"endHours":27.886977181724546,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.886977181724546,"endHours":28.886977181724546,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.886977181724546,"endHours":29.886977181724546,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.136882933797534,"eotMinutes":7.346914761554353,"ayanamsa":-48.0652}},"calendars":{"vikram_samvat":-3092,"saka_samvat":-3227,"bengali_samvat":-3742,"malayalam_era":-3973,"nanakshahi_year":-4618,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · Vikram -3092 undefined · Śaka -3227 undefined"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛścika"},"precedence":5}],"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":"Dedicated festival walk for Vṛścika Saṅkrānti is not live yet; 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 September 20, 3150 BCE · Mathurā · Vidhyamitra","description":"September 20, 3150 BCE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 05:53, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3149-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3149-09-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3149-09-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3149-09-20","x-default":"https://vidhyamitra.com/city/mathura/-3149-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T15:08:37.085Z","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":"2026-08-10T15:08:37.085Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T15:08:37.085Z","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"}}}