{"id":"vidhyamitra:city-day:mathura:-3113-09-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3113-09-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3113-09-30","date_display":"September 30, 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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584306.770833,"kali_year":-11,"ahargana":-4158.7292,"sun":{"sidereal_longitude":219.7096,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.8957,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1861,"elapsed_within_tithi_degrees":8.1861},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.8957,"elapsed_within_degrees":7.8957},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.6053},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":9,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584306.770833,"ahargana":-4158.7292,"kali_year":-11,"ayanamsa_lahiri":-47.5619,"grahas":{"sun":{"sidereal_longitude":219.7096,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":287.8957,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":-4.1582},"mars":{"sidereal_longitude":303.1994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":231.216,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":11.5971,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":201.9864,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.7386,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":40.3495,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.3495,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584306.770833,"kali_year":-11,"ahargana":-4158.7292,"sun":{"sidereal_longitude":219.7096,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.8957,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1861,"elapsed_within_tithi_degrees":8.1861},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.8957,"elapsed_within_degrees":7.8957},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.6053},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.158,"elongation":68.186},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.158,"opposition_distance":111.814}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":0.729,"opposition_distance":0.776}]},"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":"05:58","sunsetLocal":"18:19","solarNoonLocal":"12:08","dayLengthHours":12.34184459768101,"dayLengthDisplay":"12 Hours 20 Mins 31 Secs","nightLengthDisplay":"11 Hours 39 Mins 29 Secs","moonriseLocal":"11:23","moonsetLocal":"22:00","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"15:14","startHours":13.6837393027937,"endHours":15.226469877503828,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:58","end":"07:31","startHours":5.970086429243069,"endHours":7.512817003953195,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:36","startHours":9.055547578663322,"endHours":10.598278153373448,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.849850168701971,"endHours":9.261244988624671,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.484329954146444,"endHours":6.8134458100846045,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:33","startHours":11.729613908160873,"endHours":12.552403548006273,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:09","startHours":4.324507149552268,"endHours":5.147296789397668,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:58","startHours":4.941599379436318,"endHours":5.970086429243069,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:01","startHours":14.197982827697075,"endHours":15.020772467542475,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.11193102692408,"endHours":18.511931026924078,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:50","startHours":18.31193102692408,"endHours":18.826174551827453,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.06193102692408,"endHours":19.81193102692408,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:33","startHours":23.72961390816087,"endHours":24.552403548006275,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:58","end":"07:31","startHours":5.970086429243069,"endHours":7.512817003953195,"quality":"auspicious"},{"name":"Roga","start":"07:31","end":"09:03","startHours":7.512817003953195,"endHours":9.055547578663322,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:36","startHours":9.055547578663322,"endHours":10.598278153373448,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:08","startHours":10.598278153373448,"endHours":12.141008728083573,"quality":"neutral"},{"name":"Labha","start":"12:08","end":"13:41","startHours":12.141008728083573,"endHours":13.6837393027937,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"15:14","startHours":13.6837393027937,"endHours":15.226469877503828,"quality":"auspicious"},{"name":"Kāla","start":"15:14","end":"16:46","startHours":15.226469877503828,"endHours":16.76920045221395,"quality":"inauspicious"},{"name":"Śubha","start":"16:46","end":"18:19","startHours":16.76920045221395,"endHours":18.31193102692408,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:19","end":"19:46","startHours":18.31193102692408,"endHours":19.76920045221395,"quality":"auspicious"},{"name":"Kāla","start":"19:46","end":"21:14","startHours":19.76920045221395,"endHours":21.226469877503824,"quality":"inauspicious"},{"name":"Śubha","start":"21:14","end":"22:41","startHours":21.226469877503824,"endHours":22.6837393027937,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:08","startHours":22.6837393027937,"endHours":24.141008728083573,"quality":"inauspicious"},{"name":"Udveg","start":"00:08","end":"01:36","startHours":24.141008728083573,"endHours":25.598278153373446,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:03","startHours":25.598278153373446,"endHours":27.055547578663322,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:31","startHours":27.055547578663322,"endHours":28.512817003953195,"quality":"auspicious"},{"name":"Amṛta","start":"04:31","end":"05:58","startHours":28.512817003953195,"endHours":29.970086429243068,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.970086429243069,"endHours":6.970086429243069,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.970086429243069,"endHours":7.970086429243069,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.970086429243069,"endHours":8.970086429243068,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.970086429243068,"endHours":9.970086429243068,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.970086429243068,"endHours":10.970086429243068,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.970086429243068,"endHours":11.970086429243068,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.970086429243068,"endHours":12.970086429243068,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.970086429243068,"endHours":13.970086429243068,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.970086429243068,"endHours":14.970086429243068,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.970086429243068,"endHours":15.970086429243068,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.970086429243068,"endHours":16.970086429243068,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.970086429243068,"endHours":17.970086429243068,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.970086429243068,"endHours":18.970086429243068,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.970086429243068,"endHours":19.970086429243068,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.970086429243068,"endHours":20.970086429243068,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.970086429243068,"endHours":21.970086429243068,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.970086429243068,"endHours":22.970086429243068,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.970086429243068,"endHours":23.970086429243068,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.970086429243068,"endHours":24.970086429243068,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.970086429243068,"endHours":25.970086429243068,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.970086429243068,"endHours":26.970086429243068,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.970086429243068,"endHours":27.970086429243068,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.970086429243068,"endHours":28.970086429243068,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.970086429243068,"endHours":29.970086429243068,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.1148813781227505,"eotMinutes":10.844676314985584,"ayanamsa":-47.5619}},"calendars":{"vikram_samvat":-3056,"saka_samvat":-3191,"saka_samvatsara":"Prabhava","bengali_samvat":-3706,"malayalam_era":-3937,"nanakshahi_year":-4582,"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 Ṣaṣṭhī · Vikram -3056 undefined · Śaka -3191 Prabhava"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":"Dedicated festival walk for Skanda Ṣaṣṭhī is not live yet; 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 September 30, 3114 BCE · Mathurā · Vidhyamitra","description":"September 30, 3114 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 05:58, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3113-09-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3113-09-30","sa":"https://sa.vidhyamitra.com/city/mathura/-3113-09-30","hi":"https://hi.vidhyamitra.com/city/mathura/-3113-09-30","x-default":"https://vidhyamitra.com/city/mathura/-3113-09-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T01:21:17.012Z","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":"2026-08-12T01:21:17.012Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T01:21:17.012Z","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"}}}