{"id":"vidhyamitra:city-day:mathura:-3113-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3113-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3113-07-29","date_display":"July 29, 3114 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":-3113,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584243.770833,"kali_year":-11,"ahargana":-4221.7292,"sun":{"sidereal_longitude":156.7206,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":174.1305,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.4099,"elapsed_within_tithi_degrees":5.4099},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.1305,"elapsed_within_degrees":0.7972},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8511},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":-3113,"month":7,"day":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584243.770833,"ahargana":-4221.7292,"kali_year":-11,"ayanamsa_lahiri":-47.5643,"grahas":{"sun":{"sidereal_longitude":156.7206,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":174.1305,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":3.4232},"mars":{"sidereal_longitude":265.1181,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":152.5733,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":19.3761,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":124.4613,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":217.3211,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":43.6875,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.6875,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":-3113,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584243.770833,"kali_year":-11,"ahargana":-4221.7292,"sun":{"sidereal_longitude":156.7206,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":174.1305,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.4099,"elapsed_within_tithi_degrees":5.4099},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.1305,"elapsed_within_degrees":0.7972},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8511},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.423,"elongation":17.41},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.423,"opposition_distance":162.59}},"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":13.762419486165903,"dayLengthDisplay":"13 Hours 45 Mins 45 Secs","nightLengthDisplay":"10 Hours 14 Mins 15 Secs","moonriseLocal":"06:52","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"14:09","end":"15:52","startHours":14.144516709196509,"endHours":15.864819144967246,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:16","startHours":5.543004530342819,"endHours":7.263306966113557,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:59","end":"10:42","startHours":8.983609401884294,"endHours":10.703911837655033,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.75423574378153,"endHours":9.21298305998706,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.116438675599732,"endHours":6.483436528564156,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.965466957220242,"endHours":12.882961589631302,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:38","startHours":3.708015265520699,"endHours":4.625509897931759,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.396136239828994,"endHours":5.543004530342819,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:38","startHours":14.71795085445342,"endHours":15.63544548686448,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.105424016508724,"endHours":19.505424016508723,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.305424016508724,"endHours":19.878858161765635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.055424016508724,"endHours":20.805424016508724,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96546695722024,"endHours":24.882961589631304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:16","startHours":5.543004530342819,"endHours":7.263306966113557,"quality":"auspicious"},{"name":"Roga","start":"07:16","end":"08:59","startHours":7.263306966113557,"endHours":8.983609401884294,"quality":"inauspicious"},{"name":"Udveg","start":"08:59","end":"10:42","startHours":8.983609401884294,"endHours":10.703911837655033,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:25","startHours":10.703911837655033,"endHours":12.424214273425772,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:09","startHours":12.424214273425772,"endHours":14.144516709196509,"quality":"auspicious"},{"name":"Amṛta","start":"14:09","end":"15:52","startHours":14.144516709196509,"endHours":15.864819144967246,"quality":"auspicious"},{"name":"Kāla","start":"15:52","end":"17:35","startHours":15.864819144967246,"endHours":17.585121580737987,"quality":"inauspicious"},{"name":"Śubha","start":"17:35","end":"19:18","startHours":17.585121580737987,"endHours":19.305424016508724,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:18","end":"20:35","startHours":19.305424016508724,"endHours":20.585121580737987,"quality":"auspicious"},{"name":"Kāla","start":"20:35","end":"21:52","startHours":20.585121580737987,"endHours":21.86481914496725,"quality":"inauspicious"},{"name":"Śubha","start":"21:52","end":"23:09","startHours":21.86481914496725,"endHours":23.14451670919651,"quality":"auspicious"},{"name":"Roga","start":"23:09","end":"00:25","startHours":23.14451670919651,"endHours":24.424214273425772,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:42","startHours":24.424214273425772,"endHours":25.703911837655035,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"02:59","startHours":25.703911837655035,"endHours":26.983609401884294,"quality":"neutral"},{"name":"Labha","start":"02:59","end":"04:16","startHours":26.983609401884294,"endHours":28.263306966113557,"quality":"auspicious"},{"name":"Amṛta","start":"04:16","end":"05:33","startHours":28.263306966113557,"endHours":29.54300453034282,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.543004530342819,"endHours":6.543004530342819,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.543004530342819,"endHours":7.543004530342819,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.543004530342819,"endHours":8.54300453034282,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.54300453034282,"endHours":9.54300453034282,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.54300453034282,"endHours":10.54300453034282,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.54300453034282,"endHours":11.54300453034282,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.54300453034282,"endHours":12.54300453034282,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.54300453034282,"endHours":13.54300453034282,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.54300453034282,"endHours":14.54300453034282,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.54300453034282,"endHours":15.54300453034282,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.54300453034282,"endHours":16.54300453034282,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.54300453034282,"endHours":17.54300453034282,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.54300453034282,"endHours":18.54300453034282,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.54300453034282,"endHours":19.54300453034282,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.54300453034282,"endHours":20.54300453034282,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.54300453034282,"endHours":21.54300453034282,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.54300453034282,"endHours":22.54300453034282,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.54300453034282,"endHours":23.54300453034282,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.54300453034282,"endHours":24.54300453034282,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.54300453034282,"endHours":25.54300453034282,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.54300453034282,"endHours":26.54300453034282,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.54300453034282,"endHours":27.54300453034282,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.54300453034282,"endHours":28.54300453034282,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.54300453034282,"endHours":29.54300453034282,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","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":22.068127267167508,"eotMinutes":-6.147656405546237,"ayanamsa":-47.5643}},"calendars":{"vikram_samvat":-3056,"saka_samvat":-3191,"saka_samvatsara":"Prabhava","bengali_samvat":-3706,"malayalam_era":-3937,"nanakshahi_year":-4582,"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 Dvitīyā · Vikram -3056 undefined · Śaka -3191 Prabhava"},"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 July 29, 3114 BCE · Mathurā · Vidhyamitra","description":"July 29, 3114 BCE for Mathurā: Śukla Dvitīyā, sūryodaya 05:33, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3113-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3113-07-29","sa":"https://sa.vidhyamitra.com/city/mathura/-3113-07-29","hi":"https://hi.vidhyamitra.com/city/mathura/-3113-07-29","x-default":"https://vidhyamitra.com/city/mathura/-3113-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:53:30.214Z","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":"2026-08-10T11:53:30.214Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:53:30.214Z","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"}}}