{"id":"vidhyamitra:city-day:mathura:-3207-09-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-09-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-09-21","date_display":"September 21, 3208 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":-3207,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549964.770833,"kali_year":-105,"ahargana":-38500.7292,"sun":{"sidereal_longitude":211.9004,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":300.5815,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.6812,"elapsed_within_tithi_degrees":4.6812},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.5815,"elapsed_within_degrees":7.2482},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.4819},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3207,"month":9,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549964.770833,"ahargana":-38500.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8753,"grahas":{"sun":{"sidereal_longitude":211.9004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":300.5815,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-3.9206},"mars":{"sidereal_longitude":308.0267,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":194.1358,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":48.5971,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":222.4115,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.3786,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":59.9539,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.9539,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-3207,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549964.770833,"kali_year":-105,"ahargana":-38500.7292,"sun":{"sidereal_longitude":211.9004,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":300.5815,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.6812,"elapsed_within_tithi_degrees":4.6812},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":300.5815,"elapsed_within_degrees":7.2482},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.4819},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.921,"elongation":88.681},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.921,"opposition_distance":91.319}},"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":"05:54","sunsetLocal":"18:29","solarNoonLocal":"12:12","dayLengthHours":12.591426321706946,"dayLengthDisplay":"12 Hours 35 Mins 29 Secs","nightLengthDisplay":"11 Hours 24 Mins 31 Secs","moonriseLocal":"12:52","moonsetLocal":"23:20","rahuKala":{"name":"Rāhu Kāla","start":"13:46","end":"15:20","startHours":13.767139500167762,"endHours":15.341067790381128,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:54","end":"07:28","startHours":5.8974980491009195,"endHours":7.471426339314288,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:37","startHours":9.045354629527656,"endHours":10.619282919741025,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.835497524165874,"endHours":9.25521173488944,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.422140812505376,"endHours":6.757912181084228,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:37","startHours":11.773496999230826,"endHours":12.612925420677957,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:03","startHours":4.2186412062066605,"endHours":5.05806962765379,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:54","startHours":4.848212522292007,"endHours":5.8974980491009195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.291782263572216,"endHours":15.131210685019346,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.288924370807866,"endHours":18.688924370807865,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:01","startHours":18.488924370807865,"endHours":19.01356713421232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.238924370807865,"endHours":19.988924370807865,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:37","startHours":23.773496999230826,"endHours":24.612925420677957,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:54","end":"07:28","startHours":5.8974980491009195,"endHours":7.471426339314288,"quality":"auspicious"},{"name":"Roga","start":"07:28","end":"09:03","startHours":7.471426339314288,"endHours":9.045354629527656,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:37","startHours":9.045354629527656,"endHours":10.619282919741025,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:12","startHours":10.619282919741025,"endHours":12.193211209954391,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:46","startHours":12.193211209954391,"endHours":13.767139500167762,"quality":"auspicious"},{"name":"Amṛta","start":"13:46","end":"15:20","startHours":13.767139500167762,"endHours":15.341067790381128,"quality":"auspicious"},{"name":"Kāla","start":"15:20","end":"16:55","startHours":15.341067790381128,"endHours":16.9149960805945,"quality":"inauspicious"},{"name":"Śubha","start":"16:55","end":"18:29","startHours":16.9149960805945,"endHours":18.488924370807865,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:29","end":"19:55","startHours":18.488924370807865,"endHours":19.9149960805945,"quality":"auspicious"},{"name":"Kāla","start":"19:55","end":"21:20","startHours":19.9149960805945,"endHours":21.34106779038113,"quality":"inauspicious"},{"name":"Śubha","start":"21:20","end":"22:46","startHours":21.34106779038113,"endHours":22.76713950016776,"quality":"auspicious"},{"name":"Roga","start":"22:46","end":"00:12","startHours":22.76713950016776,"endHours":24.19321120995439,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:37","startHours":24.19321120995439,"endHours":25.619282919741025,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:03","startHours":25.619282919741025,"endHours":27.045354629527658,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:28","startHours":27.045354629527658,"endHours":28.471426339314288,"quality":"auspicious"},{"name":"Amṛta","start":"04:28","end":"05:54","startHours":28.471426339314288,"endHours":29.897498049100918,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.8974980491009195,"endHours":6.8974980491009195,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.8974980491009195,"endHours":7.8974980491009195,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.8974980491009195,"endHours":8.89749804910092,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.89749804910092,"endHours":9.89749804910092,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.89749804910092,"endHours":10.89749804910092,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.89749804910092,"endHours":11.89749804910092,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.89749804910092,"endHours":12.89749804910092,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.89749804910092,"endHours":13.89749804910092,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.89749804910092,"endHours":14.89749804910092,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.89749804910092,"endHours":15.89749804910092,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.89749804910092,"endHours":16.897498049100918,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.897498049100918,"endHours":17.897498049100918,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.897498049100918,"endHours":18.897498049100918,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.897498049100918,"endHours":19.897498049100918,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.897498049100918,"endHours":20.897498049100918,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.897498049100918,"endHours":21.897498049100918,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.897498049100918,"endHours":22.897498049100918,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.897498049100918,"endHours":23.897498049100918,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.897498049100918,"endHours":24.897498049100918,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.897498049100918,"endHours":25.897498049100918,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.897498049100918,"endHours":26.897498049100918,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.897498049100918,"endHours":27.897498049100918,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.897498049100918,"endHours":28.897498049100918,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.897498049100918,"endHours":29.897498049100918,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","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":6.668176196219691,"eotMinutes":7.712527402736593,"ayanamsa":-48.8753}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 21, 3208 BCE · Mathurā · Vidhyamitra","description":"September 21, 3208 BCE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:54, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-09-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-09-21","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-09-21","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-09-21","x-default":"https://vidhyamitra.com/city/mathura/-3207-09-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T02:44:05.472Z","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":"2026-08-13T02:44:05.472Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T02:44:05.472Z","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"}}}