{"id":"vidhyamitra:city-day:mathura:-3187-12-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3187-12-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-12-28","date_display":"December 28, 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":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557367.770833,"kali_year":-85,"ahargana":-31097.7292,"sun":{"sidereal_longitude":311.9354,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":279.5188,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.5833,"elapsed_within_tithi_degrees":3.5833},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.5188,"elapsed_within_degrees":12.8521},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.4542},"karana":{"half_tithi_index":54,"name":"Gara"},"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":-3187,"month":12,"day":28,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557367.770833,"ahargana":-31097.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5922,"grahas":{"sun":{"sidereal_longitude":311.9354,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":279.5188,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-4.2747},"mars":{"sidereal_longitude":277.69,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":284.5275,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":295.6112,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":273.5889,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":30.3433,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":27.7073,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.7073,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":-3187,"month":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557367.770833,"kali_year":-85,"ahargana":-31097.7292,"sun":{"sidereal_longitude":311.9354,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":279.5188,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.5833,"elapsed_within_tithi_degrees":3.5833},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.5188,"elapsed_within_degrees":12.8521},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.4542},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.275,"elongation":32.417},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.275,"opposition_distance":147.583}},"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":"07:09","sunsetLocal":"17:34","solarNoonLocal":"12:21","dayLengthHours":10.415340803616262,"dayLengthDisplay":"10 Hours 24 Mins 55 Secs","nightLengthDisplay":"13 Hours 35 Mins 05 Secs","moonriseLocal":"04:48","moonsetLocal":"15:35","rahuKala":{"name":"Rāhu Kāla","start":"08:27","end":"09:45","startHours":8.447452273048691,"endHours":9.749369873500724,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:03","end":"12:21","startHours":11.051287473952758,"endHours":12.35320507440479,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:39","end":"14:57","startHours":13.655122674856823,"endHours":14.957040275308856,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:55","startHours":9.57578086010712,"endHours":9.922958886894328,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:51","startHours":7.579507206080669,"endHours":7.857249627510436,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:42","startHours":12.006027047617582,"endHours":12.700383101192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.756822565447824,"endHours":6.451178619022241,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.277589605628637,"endHours":7.145534672596659,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:47","startHours":14.089095208340833,"endHours":14.78345126191525,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36087547621292,"endHours":17.76087547621292,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.56087547621292,"endHours":17.99484800969693,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31087547621292,"endHours":19.06087547621292,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:42","startHours":24.006027047617582,"endHours":24.700383101192,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:27","startHours":7.145534672596659,"endHours":8.447452273048691,"quality":"auspicious"},{"name":"Kāla","start":"08:27","end":"09:45","startHours":8.447452273048691,"endHours":9.749369873500724,"quality":"inauspicious"},{"name":"Śubha","start":"09:45","end":"11:03","startHours":9.749369873500724,"endHours":11.051287473952758,"quality":"auspicious"},{"name":"Roga","start":"11:03","end":"12:21","startHours":11.051287473952758,"endHours":12.35320507440479,"quality":"inauspicious"},{"name":"Udveg","start":"12:21","end":"13:39","startHours":12.35320507440479,"endHours":13.655122674856823,"quality":"inauspicious"},{"name":"Chala","start":"13:39","end":"14:57","startHours":13.655122674856823,"endHours":14.957040275308856,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:16","startHours":14.957040275308856,"endHours":16.25895787576089,"quality":"auspicious"},{"name":"Amṛta","start":"16:16","end":"17:34","startHours":16.25895787576089,"endHours":17.56087547621292,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:34","end":"19:16","startHours":17.56087547621292,"endHours":19.25895787576089,"quality":"neutral"},{"name":"Labha","start":"19:16","end":"20:57","startHours":19.25895787576089,"endHours":20.957040275308856,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:39","startHours":20.957040275308856,"endHours":22.655122674856823,"quality":"auspicious"},{"name":"Kāla","start":"22:39","end":"00:21","startHours":22.655122674856823,"endHours":24.35320507440479,"quality":"inauspicious"},{"name":"Śubha","start":"00:21","end":"02:03","startHours":24.35320507440479,"endHours":26.051287473952755,"quality":"auspicious"},{"name":"Roga","start":"02:03","end":"03:45","startHours":26.051287473952755,"endHours":27.749369873500726,"quality":"inauspicious"},{"name":"Udveg","start":"03:45","end":"05:27","startHours":27.749369873500726,"endHours":29.44745227304869,"quality":"inauspicious"},{"name":"Chala","start":"05:27","end":"07:09","startHours":29.44745227304869,"endHours":31.14553467259666,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.145534672596659,"endHours":8.145534672596659,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.145534672596659,"endHours":9.145534672596659,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.145534672596659,"endHours":10.145534672596659,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.145534672596659,"endHours":11.145534672596659,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.145534672596659,"endHours":12.145534672596659,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.145534672596659,"endHours":13.145534672596659,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.145534672596659,"endHours":14.145534672596659,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.145534672596659,"endHours":15.145534672596659,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.145534672596659,"endHours":16.14553467259666,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14553467259666,"endHours":17.14553467259666,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14553467259666,"endHours":18.14553467259666,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14553467259666,"endHours":19.14553467259666,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14553467259666,"endHours":20.14553467259666,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14553467259666,"endHours":21.14553467259666,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14553467259666,"endHours":22.14553467259666,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14553467259666,"endHours":23.14553467259666,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14553467259666,"endHours":24.14553467259666,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14553467259666,"endHours":25.14553467259666,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14553467259666,"endHours":26.14553467259666,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14553467259666,"endHours":27.14553467259666,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14553467259666,"endHours":28.14553467259666,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14553467259666,"endHours":29.14553467259666,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14553467259666,"endHours":30.14553467259666,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14553467259666,"endHours":31.14553467259666,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.269159959495408,"eotMinutes":-1.8871044642874448,"ayanamsa":-48.5922}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Trayodaśī · Vikram -3130 undefined · Śaka -3265 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 Pradoṣa Vrata 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 December 28, 3188 BCE · Mathurā · Vidhyamitra","description":"December 28, 3188 BCE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 07:09, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3187-12-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3187-12-28","sa":"https://sa.vidhyamitra.com/city/mathura/-3187-12-28","hi":"https://hi.vidhyamitra.com/city/mathura/-3187-12-28","x-default":"https://vidhyamitra.com/city/mathura/-3187-12-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T01:09:41.721Z","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":"2026-08-12T01:09:41.721Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T01:09:41.721Z","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"}}}