{"id":"vidhyamitra:city-day:mathura:-3208-10-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3208-10-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-10-09","date_display":"October 9, 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":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549617.770833,"kali_year":-106,"ahargana":-38847.7292,"sun":{"sidereal_longitude":230.5182,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":51.855,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.3368,"elapsed_within_tithi_degrees":1.3368},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.855,"elapsed_within_degrees":11.855},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.3732},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549617.770833,"ahargana":-38847.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8886,"grahas":{"sun":{"sidereal_longitude":230.5182,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.855,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":-2.0052},"mars":{"sidereal_longitude":183.0508,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":211.1127,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":6.9606,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":256.6561,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":156.2052,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":78.3396,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.3396,"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":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549617.770833,"kali_year":-106,"ahargana":-38847.7292,"sun":{"sidereal_longitude":230.5182,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":51.855,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.3368,"elapsed_within_tithi_degrees":1.3368},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.855,"elapsed_within_degrees":11.855},"yoga":{"number":22,"name":"Sādhya","sum_longitude":282.3732},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.005,"elongation":178.663},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.005,"opposition_distance":1.337}},"eclipse_window_40days":[{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":1.05,"elongation":1.868}]},"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":"06:03","sunsetLocal":"18:08","solarNoonLocal":"12:06","dayLengthHours":12.080241694666405,"dayLengthDisplay":"12 Hours 04 Mins 49 Secs","nightLengthDisplay":"11 Hours 55 Mins 11 Secs","moonriseLocal":"18:06","moonsetLocal":"06:16","rahuKala":{"name":"Rāhu Kāla","start":"16:38","end":"18:08","startHours":16.62699416353447,"endHours":18.13702437536777,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:06","end":"13:36","startHours":12.096903528034566,"endHours":13.606933739867868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:07","end":"16:38","startHours":15.11696395170117,"endHours":16.62699416353447,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:17","startHours":8.875505742790192,"endHours":9.27818046594574,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.560126084645798,"endHours":6.882265863170236,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:30","startHours":11.69422880487902,"endHours":12.499578251190114,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:15","startHours":4.446083788079177,"endHours":5.251433234390271,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:03","startHours":5.050095872812498,"endHours":6.056782680701365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.1102771438123,"endHours":14.915626590123395,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93702437536777,"endHours":18.33702437536777,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:38","startHours":18.13702437536777,"endHours":18.640367779312204,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88702437536777,"endHours":19.63702437536777,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:30","startHours":23.69422880487902,"endHours":24.499578251190112,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:34","startHours":6.056782680701365,"endHours":7.566812892534665,"quality":"inauspicious"},{"name":"Chala","start":"07:34","end":"09:05","startHours":7.566812892534665,"endHours":9.076843104367967,"quality":"neutral"},{"name":"Labha","start":"09:05","end":"10:35","startHours":9.076843104367967,"endHours":10.586873316201267,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:06","startHours":10.586873316201267,"endHours":12.096903528034566,"quality":"auspicious"},{"name":"Kāla","start":"12:06","end":"13:36","startHours":12.096903528034566,"endHours":13.606933739867868,"quality":"inauspicious"},{"name":"Śubha","start":"13:36","end":"15:07","startHours":13.606933739867868,"endHours":15.11696395170117,"quality":"auspicious"},{"name":"Roga","start":"15:07","end":"16:38","startHours":15.11696395170117,"endHours":16.62699416353447,"quality":"inauspicious"},{"name":"Udveg","start":"16:38","end":"18:08","startHours":16.62699416353447,"endHours":18.13702437536777,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:08","end":"19:38","startHours":18.13702437536777,"endHours":19.62699416353447,"quality":"auspicious"},{"name":"Roga","start":"19:38","end":"21:07","startHours":19.62699416353447,"endHours":21.116963951701166,"quality":"inauspicious"},{"name":"Udveg","start":"21:07","end":"22:36","startHours":21.116963951701166,"endHours":22.606933739867866,"quality":"inauspicious"},{"name":"Chala","start":"22:36","end":"00:06","startHours":22.606933739867866,"endHours":24.096903528034566,"quality":"neutral"},{"name":"Labha","start":"00:06","end":"01:35","startHours":24.096903528034566,"endHours":25.586873316201267,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"03:05","startHours":25.586873316201267,"endHours":27.076843104367967,"quality":"auspicious"},{"name":"Kāla","start":"03:05","end":"04:34","startHours":27.076843104367967,"endHours":28.566812892534664,"quality":"inauspicious"},{"name":"Śubha","start":"04:34","end":"06:03","startHours":28.566812892534664,"endHours":30.056782680701364,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.056782680701365,"endHours":7.056782680701365,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.056782680701365,"endHours":8.056782680701364,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.056782680701364,"endHours":9.056782680701364,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.056782680701364,"endHours":10.056782680701364,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.056782680701364,"endHours":11.056782680701364,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.056782680701364,"endHours":12.056782680701364,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.056782680701364,"endHours":13.056782680701364,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.056782680701364,"endHours":14.056782680701364,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.056782680701364,"endHours":15.056782680701364,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.056782680701364,"endHours":16.056782680701364,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.056782680701364,"endHours":17.056782680701364,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.056782680701364,"endHours":18.056782680701364,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.056782680701364,"endHours":19.056782680701364,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.056782680701364,"endHours":20.056782680701364,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.056782680701364,"endHours":21.056782680701364,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.056782680701364,"endHours":22.056782680701364,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.056782680701364,"endHours":23.056782680701364,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.056782680701364,"endHours":24.056782680701364,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.056782680701364,"endHours":25.056782680701364,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.056782680701364,"endHours":26.056782680701364,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.056782680701364,"endHours":27.056782680701364,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.056782680701364,"endHours":28.056782680701364,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.056782680701364,"endHours":29.056782680701364,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.056782680701364,"endHours":30.056782680701364,"planetary_lord":"Jupiter"}],"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":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.6480712558718718,"eotMinutes":13.49098831792595,"ayanamsa":-48.8886}},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa 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 Kṛṣṇa Pratipada · Vikram -3151 undefined · Śaka -3286 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 9, 3209 BCE · Mathurā · Vidhyamitra","description":"October 9, 3209 BCE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 06:03, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3208-10-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3208-10-09","sa":"https://sa.vidhyamitra.com/city/mathura/-3208-10-09","hi":"https://hi.vidhyamitra.com/city/mathura/-3208-10-09","x-default":"https://vidhyamitra.com/city/mathura/-3208-10-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T20:18:45.977Z","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":"2026-08-12T20:18:45.977Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T20:18:45.977Z","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"}}}