{"id":"vidhyamitra:city-day:mathura:-3208-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3208-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-10-01","date_display":"October 1, 3209 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":-3208,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549609.770833,"kali_year":-106,"ahargana":-38855.7292,"sun":{"sidereal_longitude":222.3424,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":305.9362,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.5938,"elapsed_within_tithi_degrees":11.5938},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.9362,"elapsed_within_degrees":12.6029},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.2787},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":-3208,"month":10,"day":1,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549609.770833,"ahargana":-38855.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8889,"grahas":{"sun":{"sidereal_longitude":222.3424,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":305.9362,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-3.2988},"mars":{"sidereal_longitude":178.1219,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":202.3454,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":7.5509,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":256.1961,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":155.6842,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":78.7635,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.7635,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":-3208,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549609.770833,"kali_year":-106,"ahargana":-38855.7292,"sun":{"sidereal_longitude":222.3424,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":305.9362,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.5938,"elapsed_within_tithi_degrees":11.5938},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.9362,"elapsed_within_degrees":12.6029},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.2787},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.299,"elongation":83.594},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.299,"opposition_distance":96.406}},"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":"05:59","sunsetLocal":"18:17","solarNoonLocal":"12:08","dayLengthHours":12.30587030782375,"dayLengthDisplay":"12 Hours 18 Mins 21 Secs","nightLengthDisplay":"11 Hours 41 Mins 39 Secs","moonriseLocal":"12:30","moonsetLocal":"22:55","rahuKala":{"name":"Rāhu Kāla","start":"09:04","end":"10:36","startHours":9.059156353267655,"endHours":10.597390141745624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"15:13","startHours":13.673857718701562,"endHours":15.21209150717953,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:59","end":"07:31","startHours":5.982688776311718,"endHours":7.520922564789686,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.854058514803926,"endHours":9.264254191731384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:49","startHours":6.495433372471041,"endHours":6.823589914013008,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:33","startHours":11.725428253296135,"endHours":12.545819607151051,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:10","startHours":4.341906068601885,"endHours":5.162297422456801,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.957199583993072,"endHours":5.982688776311718,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:00","startHours":14.186602314860885,"endHours":15.0069936687158,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.08855908413547,"endHours":18.488559084135467,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:48","startHours":18.288559084135468,"endHours":18.80130368029479,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.038559084135468,"endHours":19.788559084135468,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:33","startHours":23.725428253296137,"endHours":24.545819607151053,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:59","end":"07:31","startHours":5.982688776311718,"endHours":7.520922564789686,"quality":"inauspicious"},{"name":"Śubha","start":"07:31","end":"09:04","startHours":7.520922564789686,"endHours":9.059156353267655,"quality":"auspicious"},{"name":"Roga","start":"09:04","end":"10:36","startHours":9.059156353267655,"endHours":10.597390141745624,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:08","startHours":10.597390141745624,"endHours":12.135623930223591,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:40","startHours":12.135623930223591,"endHours":13.673857718701562,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"15:13","startHours":13.673857718701562,"endHours":15.21209150717953,"quality":"auspicious"},{"name":"Amṛta","start":"15:13","end":"16:45","startHours":15.21209150717953,"endHours":16.750325295657497,"quality":"auspicious"},{"name":"Kāla","start":"16:45","end":"18:17","startHours":16.750325295657497,"endHours":18.288559084135468,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:17","end":"19:45","startHours":18.288559084135468,"endHours":19.7503252956575,"quality":"auspicious"},{"name":"Amṛta","start":"19:45","end":"21:13","startHours":19.7503252956575,"endHours":21.21209150717953,"quality":"auspicious"},{"name":"Kāla","start":"21:13","end":"22:40","startHours":21.21209150717953,"endHours":22.673857718701562,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:08","startHours":22.673857718701562,"endHours":24.135623930223595,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:36","startHours":24.135623930223595,"endHours":25.597390141745624,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:04","startHours":25.597390141745624,"endHours":27.059156353267657,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:31","startHours":27.059156353267657,"endHours":28.520922564789686,"quality":"neutral"},{"name":"Labha","start":"04:31","end":"05:59","startHours":28.520922564789686,"endHours":29.98268877631172,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.982688776311718,"endHours":6.982688776311718,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.982688776311718,"endHours":7.982688776311718,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.982688776311718,"endHours":8.982688776311718,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.982688776311718,"endHours":9.982688776311718,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.982688776311718,"endHours":10.982688776311718,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.982688776311718,"endHours":11.982688776311718,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.982688776311718,"endHours":12.982688776311718,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.982688776311718,"endHours":13.982688776311718,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.982688776311718,"endHours":14.982688776311718,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.982688776311718,"endHours":15.982688776311718,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.982688776311718,"endHours":16.98268877631172,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98268877631172,"endHours":17.98268877631172,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98268877631172,"endHours":18.98268877631172,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98268877631172,"endHours":19.98268877631172,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98268877631172,"endHours":20.98268877631172,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98268877631172,"endHours":21.98268877631172,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98268877631172,"endHours":22.98268877631172,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98268877631172,"endHours":23.98268877631172,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98268877631172,"endHours":24.98268877631172,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98268877631172,"endHours":25.98268877631172,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98268877631172,"endHours":26.98268877631172,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98268877631172,"endHours":27.98268877631172,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98268877631172,"endHours":28.98268877631172,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98268877631172,"endHours":29.98268877631172,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","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":2.5989851550426746,"eotMinutes":11.167764186584405,"ayanamsa":-48.8889}},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"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 Saptamī · Vikram -3151 undefined · Śaka -3286 undefined"},"festivals":[],"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":"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 October 1, 3209 BCE · Mathurā · Vidhyamitra","description":"October 1, 3209 BCE for Mathurā: Śukla Saptamī, sūryodaya 05:59, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3208-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3208-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/-3208-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/-3208-10-01","x-default":"https://vidhyamitra.com/city/mathura/-3208-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T10:57:14.861Z","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":"2026-09-08T10:57:14.861Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T10:57:14.861Z","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"}}}