{"id":"vidhyamitra:city-day:mathura:-3207-09-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-09-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-09-02","date_display":"September 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549945.770833,"kali_year":-105,"ahargana":-38519.7292,"sun":{"sidereal_longitude":192.7174,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":56.4881,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7707,"elapsed_within_tithi_degrees":7.7707},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.4881,"elapsed_within_degrees":3.1548},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.2056},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":-3207,"month":9,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549945.770833,"ahargana":-38519.7292,"kali_year":-105,"ayanamsa_lahiri":-48.876,"grahas":{"sun":{"sidereal_longitude":192.7174,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":56.4881,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":-0.3506},"mars":{"sidereal_longitude":297.1,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":182.7978,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":50.712,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":198.4972,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":164.3627,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":60.9606,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.9606,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549945.770833,"kali_year":-105,"ahargana":-38519.7292,"sun":{"sidereal_longitude":192.7174,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":56.4881,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7707,"elapsed_within_tithi_degrees":7.7707},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.4881,"elapsed_within_degrees":3.1548},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.2056},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.351,"elongation":136.229},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.351,"opposition_distance":43.771}},"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":"05:46","sunsetLocal":"18:51","solarNoonLocal":"12:18","dayLengthHours":13.09226388508118,"dayLengthDisplay":"13 Hours 05 Mins 32 Secs","nightLengthDisplay":"10 Hours 54 Mins 28 Secs","moonriseLocal":"21:05","moonsetLocal":"09:23","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:40","startHours":9.035157988821155,"endHours":10.671690974456304,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:35","startHours":13.9447569457266,"endHours":15.581289931361745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:46","end":"07:24","startHours":5.76209201755086,"endHours":7.398625003186008,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.81695359073647,"endHours":9.253362386905842,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.307603012762576,"endHours":6.656730049698075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:45","startHours":11.871815163922077,"endHours":12.744632756260822,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.01645683287337,"endHours":4.889274425212115,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:46","startHours":4.671070027127429,"endHours":5.76209201755086,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.490267940938313,"endHours":15.363085533277058,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.65435590263204,"endHours":19.05435590263204,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:24","startHours":18.85435590263204,"endHours":19.399866897843758,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.60435590263204,"endHours":20.35435590263204,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:45","startHours":23.871815163922076,"endHours":24.744632756260824,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:46","end":"07:24","startHours":5.76209201755086,"endHours":7.398625003186008,"quality":"inauspicious"},{"name":"Śubha","start":"07:24","end":"09:02","startHours":7.398625003186008,"endHours":9.035157988821155,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:40","startHours":9.035157988821155,"endHours":10.671690974456304,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:18","startHours":10.671690974456304,"endHours":12.30822396009145,"quality":"inauspicious"},{"name":"Chala","start":"12:18","end":"13:57","startHours":12.30822396009145,"endHours":13.9447569457266,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:35","startHours":13.9447569457266,"endHours":15.581289931361745,"quality":"auspicious"},{"name":"Amṛta","start":"15:35","end":"17:13","startHours":15.581289931361745,"endHours":17.217822916996894,"quality":"auspicious"},{"name":"Kāla","start":"17:13","end":"18:51","startHours":17.217822916996894,"endHours":18.85435590263204,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:51","end":"20:13","startHours":18.85435590263204,"endHours":20.217822916996894,"quality":"auspicious"},{"name":"Amṛta","start":"20:13","end":"21:35","startHours":20.217822916996894,"endHours":21.581289931361745,"quality":"auspicious"},{"name":"Kāla","start":"21:35","end":"22:57","startHours":21.581289931361745,"endHours":22.944756945726596,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:18","startHours":22.944756945726596,"endHours":24.30822396009145,"quality":"auspicious"},{"name":"Roga","start":"00:18","end":"01:40","startHours":24.30822396009145,"endHours":25.671690974456304,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"03:02","startHours":25.671690974456304,"endHours":27.035157988821155,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:24","startHours":27.035157988821155,"endHours":28.398625003186005,"quality":"neutral"},{"name":"Labha","start":"04:24","end":"05:46","startHours":28.398625003186005,"endHours":29.76209201755086,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.76209201755086,"endHours":6.76209201755086,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.76209201755086,"endHours":7.76209201755086,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.76209201755086,"endHours":8.76209201755086,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.76209201755086,"endHours":9.76209201755086,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.76209201755086,"endHours":10.76209201755086,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.76209201755086,"endHours":11.76209201755086,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.76209201755086,"endHours":12.76209201755086,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.76209201755086,"endHours":13.76209201755086,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.76209201755086,"endHours":14.76209201755086,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.76209201755086,"endHours":15.76209201755086,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.76209201755086,"endHours":16.76209201755086,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.76209201755086,"endHours":17.76209201755086,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.76209201755086,"endHours":18.76209201755086,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.76209201755086,"endHours":19.76209201755086,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.76209201755086,"endHours":20.76209201755086,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.76209201755086,"endHours":21.76209201755086,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.76209201755086,"endHours":22.76209201755086,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.76209201755086,"endHours":23.76209201755086,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.76209201755086,"endHours":24.76209201755086,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.76209201755086,"endHours":25.76209201755086,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.76209201755086,"endHours":26.76209201755086,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.76209201755086,"endHours":27.76209201755086,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.76209201755086,"endHours":28.76209201755086,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.76209201755086,"endHours":29.76209201755086,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","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":13.572234493394458,"eotMinutes":0.8117623945129984,"ayanamsa":-48.876}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"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 Caturthī · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Karvā Chauth · Saṅkaṣṭī Caturthī is not live yet; 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 September 2, 3208 BCE · Mathurā · Vidhyamitra","description":"September 2, 3208 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:46, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-09-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-09-02","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-09-02","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-09-02","x-default":"https://vidhyamitra.com/city/mathura/-3207-09-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T23:08:31.091Z","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":"2026-09-08T23:08:31.091Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T23:08:31.091Z","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"}}}