{"id":"vidhyamitra:city-day:mathura:-3187-09-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3187-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-09-24","date_display":"September 24, 3188 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":-3187,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557272.770833,"kali_year":-85,"ahargana":-31192.7292,"sun":{"sidereal_longitude":214.7704,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":117.7518,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9814,"elapsed_within_tithi_degrees":10.9814},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.7518,"elapsed_within_degrees":11.0851},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.5222},"karana":{"half_tithi_index":43,"name":"Bava"},"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":-3187,"month":9,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557272.770833,"ahargana":-31192.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5958,"grahas":{"sun":{"sidereal_longitude":214.7704,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":117.7518,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false,"latitude":4.4829},"mars":{"sidereal_longitude":207.8937,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":200.4185,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":274.4346,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":170.4552,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":32.8864,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":32.7409,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.7409,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":-3187,"month":9,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557272.770833,"kali_year":-85,"ahargana":-31192.7292,"sun":{"sidereal_longitude":214.7704,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":117.7518,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9814,"elapsed_within_tithi_degrees":10.9814},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.7518,"elapsed_within_degrees":11.0851},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.5222},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.483,"elongation":97.019},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.483,"opposition_distance":82.981}},"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":"05:55","sunsetLocal":"18:26","solarNoonLocal":"12:11","dayLengthHours":12.505709590422503,"dayLengthDisplay":"12 Hours 30 Mins 21 Secs","nightLengthDisplay":"11 Hours 29 Mins 39 Secs","moonriseLocal":"22:51","moonsetLocal":"12:33","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:18","startHours":13.73841519223984,"endHours":15.301628891042652,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:55","end":"07:29","startHours":5.922346698225775,"endHours":7.485560397028588,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:03","end":"10:37","startHours":9.048774095831401,"endHours":10.611987794634214,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.840345602657692,"endHours":9.257202589005109,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:47","startHours":6.443417931160046,"endHours":6.77690352023798,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.758344507089609,"endHours":12.592058479784443,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:05","startHours":4.254918752836108,"endHours":5.088632725530942,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:55","startHours":4.880204232357233,"endHours":5.922346698225775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.259486425174112,"endHours":15.093200397868946,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.22805628864828,"endHours":18.628056288648278,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.42805628864828,"endHours":18.94912752158255,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.17805628864828,"endHours":19.92805628864828,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.75834450708961,"endHours":24.59205847978444,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:55","end":"07:29","startHours":5.922346698225775,"endHours":7.485560397028588,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:03","startHours":7.485560397028588,"endHours":9.048774095831401,"quality":"inauspicious"},{"name":"Udveg","start":"09:03","end":"10:37","startHours":9.048774095831401,"endHours":10.611987794634214,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:11","startHours":10.611987794634214,"endHours":12.175201493437026,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:44","startHours":12.175201493437026,"endHours":13.73841519223984,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:18","startHours":13.73841519223984,"endHours":15.301628891042652,"quality":"auspicious"},{"name":"Kāla","start":"15:18","end":"16:52","startHours":15.301628891042652,"endHours":16.864842589845466,"quality":"inauspicious"},{"name":"Śubha","start":"16:52","end":"18:26","startHours":16.864842589845466,"endHours":18.42805628864828,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:26","end":"19:52","startHours":18.42805628864828,"endHours":19.864842589845466,"quality":"auspicious"},{"name":"Kāla","start":"19:52","end":"21:18","startHours":19.864842589845466,"endHours":21.301628891042654,"quality":"inauspicious"},{"name":"Śubha","start":"21:18","end":"22:44","startHours":21.301628891042654,"endHours":22.73841519223984,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:11","startHours":22.73841519223984,"endHours":24.175201493437026,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:37","startHours":24.175201493437026,"endHours":25.611987794634214,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:03","startHours":25.611987794634214,"endHours":27.0487740958314,"quality":"neutral"},{"name":"Labha","start":"03:03","end":"04:29","startHours":27.0487740958314,"endHours":28.485560397028586,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:55","startHours":28.485560397028586,"endHours":29.922346698225773,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.922346698225775,"endHours":6.922346698225775,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.922346698225775,"endHours":7.922346698225775,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.922346698225775,"endHours":8.922346698225775,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.922346698225775,"endHours":9.922346698225775,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.922346698225775,"endHours":10.922346698225775,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.922346698225775,"endHours":11.922346698225775,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.922346698225775,"endHours":12.922346698225775,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.922346698225775,"endHours":13.922346698225775,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.922346698225775,"endHours":14.922346698225775,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.922346698225775,"endHours":15.922346698225775,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.922346698225775,"endHours":16.922346698225773,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.922346698225773,"endHours":17.922346698225773,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.922346698225773,"endHours":18.922346698225773,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.922346698225773,"endHours":19.922346698225773,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.922346698225773,"endHours":20.922346698225773,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.922346698225773,"endHours":21.922346698225773,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.922346698225773,"endHours":22.922346698225773,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.922346698225773,"endHours":23.922346698225773,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.922346698225773,"endHours":24.922346698225773,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.922346698225773,"endHours":25.922346698225773,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.922346698225773,"endHours":26.922346698225773,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.922346698225773,"endHours":27.922346698225773,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.922346698225773,"endHours":28.922346698225773,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.922346698225773,"endHours":29.922346698225773,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","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":5.453836195052688,"eotMinutes":8.793110393778392,"ayanamsa":-48.5958}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa 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 Kṛṣṇa Saptamī · Vikram -3130 undefined · Śaka -3265 undefined"},"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 September 24, 3188 BCE · Mathurā · Vidhyamitra","description":"September 24, 3188 BCE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 05:55, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3187-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3187-09-24","sa":"https://sa.vidhyamitra.com/city/mathura/-3187-09-24","hi":"https://hi.vidhyamitra.com/city/mathura/-3187-09-24","x-default":"https://vidhyamitra.com/city/mathura/-3187-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:19:52.970Z","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":"2026-08-11T21:19:52.970Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:19:52.970Z","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"}}}