{"id":"vidhyamitra:city-day:mathura:-3207-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-07-31","date_display":"July 31, 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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549912.770833,"kali_year":-105,"ahargana":-38552.7292,"sun":{"sidereal_longitude":159.9756,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":339.9524,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9768,"elapsed_within_tithi_degrees":11.9768},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.9524,"elapsed_within_degrees":6.619},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.928},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":7,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549912.770833,"ahargana":-38552.7292,"kali_year":-105,"ayanamsa_lahiri":-48.8773,"grahas":{"sun":{"sidereal_longitude":159.9756,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":339.9524,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.464},"mars":{"sidereal_longitude":281.8161,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":187.0596,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":51.8509,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":157.2614,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":160.3151,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":62.7091,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.7091,"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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549912.770833,"kali_year":-105,"ahargana":-38552.7292,"sun":{"sidereal_longitude":159.9756,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":339.9524,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.9768,"elapsed_within_tithi_degrees":11.9768},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.9524,"elapsed_within_degrees":6.619},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.928},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.464,"elongation":179.977},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.464,"opposition_distance":0.023}},"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":"05:33","sunsetLocal":"19:18","solarNoonLocal":"12:25","dayLengthHours":13.738421100515417,"dayLengthDisplay":"13 Hours 44 Mins 18 Secs","nightLengthDisplay":"10 Hours 15 Mins 42 Secs","moonriseLocal":"19:10","moonsetLocal":"05:40","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.2710349958459,"endHours":8.988337633410328,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.705640270974754,"endHours":12.42294290853918,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.140245546103607,"endHours":15.857548183668037,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.759363948401738,"endHours":9.217311318418918,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.1261665708029485,"endHours":6.492524466816693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.964995538522,"endHours":12.880890278556361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.721942878212751,"endHours":4.6378376182471115,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.408863933238521,"endHours":5.553732358281473,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:38","startHours":14.712679758625082,"endHours":15.628574498659443,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.09215345879689,"endHours":19.49215345879689,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:52","startHours":19.29215345879689,"endHours":19.864587671318365,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.04215345879689,"endHours":20.79215345879689,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.964995538522,"endHours":24.88089027855636,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.553732358281473,"endHours":7.2710349958459,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.2710349958459,"endHours":8.988337633410328,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.988337633410328,"endHours":10.705640270974754,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.705640270974754,"endHours":12.42294290853918,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.42294290853918,"endHours":14.140245546103607,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.140245546103607,"endHours":15.857548183668037,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.857548183668037,"endHours":17.574850821232463,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:18","startHours":17.574850821232463,"endHours":19.29215345879689,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:18","end":"20:34","startHours":19.29215345879689,"endHours":20.574850821232463,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.574850821232463,"endHours":21.857548183668037,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.857548183668037,"endHours":23.140245546103607,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.140245546103607,"endHours":24.42294290853918,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.42294290853918,"endHours":25.705640270974754,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.705640270974754,"endHours":26.988337633410325,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.988337633410325,"endHours":28.2710349958459,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.2710349958459,"endHours":29.553732358281472,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.553732358281473,"endHours":6.553732358281473,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.553732358281473,"endHours":7.553732358281473,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.553732358281473,"endHours":8.553732358281472,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.553732358281472,"endHours":9.553732358281472,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.553732358281472,"endHours":10.553732358281472,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.553732358281472,"endHours":11.553732358281472,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.553732358281472,"endHours":12.553732358281472,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.553732358281472,"endHours":13.553732358281472,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.553732358281472,"endHours":14.553732358281472,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.553732358281472,"endHours":15.553732358281472,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.553732358281472,"endHours":16.553732358281472,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.553732358281472,"endHours":17.553732358281472,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.553732358281472,"endHours":18.553732358281472,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.553732358281472,"endHours":19.553732358281472,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.553732358281472,"endHours":20.553732358281472,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.553732358281472,"endHours":21.553732358281472,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.553732358281472,"endHours":22.553732358281472,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.553732358281472,"endHours":23.553732358281472,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.553732358281472,"endHours":24.553732358281472,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.553732358281472,"endHours":25.553732358281472,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.553732358281472,"endHours":26.553732358281472,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.553732358281472,"endHours":27.553732358281472,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.553732358281472,"endHours":28.553732358281472,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.553732358281472,"endHours":29.553732358281472,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.78163157719396,"eotMinutes":-6.071374512350812,"ayanamsa":-48.8773}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram -3150 undefined · Śaka -3285 undefined"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Śarad Pūrṇimā / Kojāgarī Pūrṇimā · Rāsa Pūrṇimā (Vraja Mahā-Rāsa) · Mahārṣi Vālmīki Jayantī is not live yet; Somavāra (Monday) — 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 July 31, 3208 BCE · Mathurā · Vidhyamitra","description":"July 31, 3208 BCE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:33, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-07-31","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-07-31","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-07-31","x-default":"https://vidhyamitra.com/city/mathura/-3207-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T12:38:32.304Z","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":"2026-09-11T12:38:32.304Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T12:38:32.304Z","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"}}}