{"id":"vidhyamitra:city-day:mathura:-3130-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3130-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3130-09-20","date_display":"September 20, 3131 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":-3130,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578087.770833,"kali_year":-28,"ahargana":-10377.7292,"sun":{"sidereal_longitude":209.9478,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":56.5207,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.5729,"elapsed_within_tithi_degrees":2.5729},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.5207,"elapsed_within_degrees":3.1874},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.4685},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":-3130,"month":9,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578087.770833,"ahargana":-10377.7292,"kali_year":-28,"ayanamsa_lahiri":-47.7997,"grahas":{"sun":{"sidereal_longitude":209.9478,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.5207,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":3.2712},"mars":{"sidereal_longitude":282.8932,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":223.068,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":212.9006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":244.175,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":2.9862,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":9.862,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.862,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":-3130,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578087.770833,"kali_year":-28,"ahargana":-10377.7292,"sun":{"sidereal_longitude":209.9478,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":56.5207,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.5729,"elapsed_within_tithi_degrees":2.5729},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.5207,"elapsed_within_degrees":3.1874},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.4685},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.271,"elongation":153.427},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.271,"opposition_distance":26.573}},"eclipse_window_40days":[{"offset_days":-17,"type":"solar","occurs":true,"moon_latitude":-0.38,"elongation":2.812}]},"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":"05:54","sunsetLocal":"18:30","solarNoonLocal":"12:12","dayLengthHours":12.615181838762425,"dayLengthDisplay":"12 Hours 36 Mins 55 Secs","nightLengthDisplay":"11 Hours 23 Mins 05 Secs","moonriseLocal":"19:48","moonsetLocal":"08:08","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"09:03","startHours":7.468611564438184,"endHours":9.045509294283487,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:12","startHours":10.62240702412879,"endHours":12.199304753974094,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:47","end":"15:21","startHours":13.776202483819397,"endHours":15.3531002136647,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.835256263637447,"endHours":9.255762324929528,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.4173464112079825,"endHours":6.753751260241647,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.778798692682013,"endHours":12.619810815266174,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:03","startHours":4.209689589424558,"endHours":5.05070171200872,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:54","startHours":4.840448681362679,"endHours":5.891713834592881,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:09","startHours":14.301835060434499,"endHours":15.142847183018661,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.306895673355307,"endHours":18.706895673355305,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:02","startHours":18.506895673355306,"endHours":19.032528249970408,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.256895673355306,"endHours":20.006895673355306,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.778798692682013,"endHours":24.619810815266174,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:54","end":"07:28","startHours":5.891713834592881,"endHours":7.468611564438184,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"09:03","startHours":7.468611564438184,"endHours":9.045509294283487,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:37","startHours":9.045509294283487,"endHours":10.62240702412879,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:12","startHours":10.62240702412879,"endHours":12.199304753974094,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:47","startHours":12.199304753974094,"endHours":13.776202483819397,"quality":"inauspicious"},{"name":"Chala","start":"13:47","end":"15:21","startHours":13.776202483819397,"endHours":15.3531002136647,"quality":"neutral"},{"name":"Labha","start":"15:21","end":"16:56","startHours":15.3531002136647,"endHours":16.929997943510003,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:30","startHours":16.929997943510003,"endHours":18.506895673355306,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:30","end":"19:56","startHours":18.506895673355306,"endHours":19.929997943510003,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:21","startHours":19.929997943510003,"endHours":21.3531002136647,"quality":"auspicious"},{"name":"Amṛta","start":"21:21","end":"22:47","startHours":21.3531002136647,"endHours":22.776202483819397,"quality":"auspicious"},{"name":"Kāla","start":"22:47","end":"00:12","startHours":22.776202483819397,"endHours":24.199304753974094,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:37","startHours":24.199304753974094,"endHours":25.62240702412879,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:03","startHours":25.62240702412879,"endHours":27.045509294283487,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:28","startHours":27.045509294283487,"endHours":28.468611564438184,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"05:54","startHours":28.468611564438184,"endHours":29.89171383459288,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.891713834592881,"endHours":6.891713834592881,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.891713834592881,"endHours":7.891713834592881,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.891713834592881,"endHours":8.891713834592881,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.891713834592881,"endHours":9.891713834592881,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.891713834592881,"endHours":10.891713834592881,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.891713834592881,"endHours":11.891713834592881,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.891713834592881,"endHours":12.891713834592881,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.891713834592881,"endHours":13.891713834592881,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.891713834592881,"endHours":14.891713834592881,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.891713834592881,"endHours":15.891713834592881,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.891713834592881,"endHours":16.89171383459288,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.89171383459288,"endHours":17.89171383459288,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.89171383459288,"endHours":18.89171383459288,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.89171383459288,"endHours":19.89171383459288,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.89171383459288,"endHours":20.89171383459288,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.89171383459288,"endHours":21.89171383459288,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.89171383459288,"endHours":22.89171383459288,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.89171383459288,"endHours":23.89171383459288,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.89171383459288,"endHours":24.89171383459288,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.89171383459288,"endHours":25.89171383459288,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.89171383459288,"endHours":26.89171383459288,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.89171383459288,"endHours":27.89171383459288,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.89171383459288,"endHours":28.89171383459288,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.89171383459288,"endHours":29.89171383459288,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Vajra","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":7.003381742625169,"eotMinutes":7.346914761554353,"ayanamsa":-47.7997}},"calendars":{"vikram_samvat":-3073,"saka_samvat":-3208,"bengali_samvat":-3723,"malayalam_era":-3954,"nanakshahi_year":-4599,"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 Tṛtīyā · Vikram -3073 undefined · Śaka -3208 undefined"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛścika"},"precedence":5}],"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 Vṛścika Saṅkrānti 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 September 20, 3131 BCE · Mathurā · Vidhyamitra","description":"September 20, 3131 BCE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:54, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3130-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3130-09-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3130-09-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3130-09-20","x-default":"https://vidhyamitra.com/city/mathura/-3130-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T09:25:31.030Z","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":"2026-08-12T09:25:31.030Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T09:25:31.030Z","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"}}}