{"id":"vidhyamitra:city-day:mathura:-3146-12-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3146-12-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3146-12-25","date_display":"December 25, 3147 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":-3146,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572339.770833,"kali_year":-44,"ahargana":-16125.7292,"sun":{"sidereal_longitude":308.2878,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":283.2152,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.9274,"elapsed_within_tithi_degrees":10.9274},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":283.2152,"elapsed_within_degrees":3.2152},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.5031},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3146,"month":12,"day":25,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572339.770833,"ahargana":-16125.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0196,"grahas":{"sun":{"sidereal_longitude":308.2878,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":283.2152,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-2.3296},"mars":{"sidereal_longitude":218.1941,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":288.0941,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":99.361,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":354.8002,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":194.2894,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":314.4187,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.4187,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":-3146,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572339.770833,"kali_year":-44,"ahargana":-16125.7292,"sun":{"sidereal_longitude":308.2878,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":283.2152,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.9274,"elapsed_within_tithi_degrees":10.9274},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":283.2152,"elapsed_within_degrees":3.2152},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.5031},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.33,"elongation":25.073},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.33,"opposition_distance":154.927}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.174,"elongation":1.789}]},"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":"07:07","sunsetLocal":"17:33","solarNoonLocal":"12:20","dayLengthHours":10.431047348827711,"dayLengthDisplay":"10 Hours 25 Mins 52 Secs","nightLengthDisplay":"13 Hours 34 Mins 08 Secs","moonriseLocal":"05:18","moonsetLocal":"16:01","rahuKala":{"name":"Rāhu Kāla","start":"16:14","end":"17:33","startHours":16.241620371511548,"endHours":17.545501290115013,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:38","startHours":12.329977615701157,"endHours":13.633858534304622,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:56","end":"16:14","startHours":14.937739452908087,"endHours":16.241620371511548,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.548364989347101,"endHours":9.896066567641359,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.549080914155124,"endHours":7.82724217679053,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.9822760374069,"endHours":12.677679193995415,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.723647628110275,"endHours":6.419050784698788,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:07","startHours":6.24519999555166,"endHours":7.1144539412873025,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:46","startHours":14.068485507172444,"endHours":14.763888663760957,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.345501290115013,"endHours":17.745501290115012,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:59","startHours":17.545501290115013,"endHours":17.980128262982834,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.295501290115013,"endHours":19.045501290115013,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.9822760374069,"endHours":24.677679193995413,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:07","end":"08:25","startHours":7.1144539412873025,"endHours":8.418334859890766,"quality":"inauspicious"},{"name":"Chala","start":"08:25","end":"09:43","startHours":8.418334859890766,"endHours":9.722215778494231,"quality":"neutral"},{"name":"Labha","start":"09:43","end":"11:02","startHours":9.722215778494231,"endHours":11.026096697097694,"quality":"auspicious"},{"name":"Amṛta","start":"11:02","end":"12:20","startHours":11.026096697097694,"endHours":12.329977615701157,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:38","startHours":12.329977615701157,"endHours":13.633858534304622,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"14:56","startHours":13.633858534304622,"endHours":14.937739452908087,"quality":"auspicious"},{"name":"Roga","start":"14:56","end":"16:14","startHours":14.937739452908087,"endHours":16.241620371511548,"quality":"inauspicious"},{"name":"Udveg","start":"16:14","end":"17:33","startHours":16.241620371511548,"endHours":17.545501290115013,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:33","end":"19:14","startHours":17.545501290115013,"endHours":19.241620371511548,"quality":"auspicious"},{"name":"Roga","start":"19:14","end":"20:56","startHours":19.241620371511548,"endHours":20.937739452908083,"quality":"inauspicious"},{"name":"Udveg","start":"20:56","end":"22:38","startHours":20.937739452908083,"endHours":22.633858534304622,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"00:20","startHours":22.633858534304622,"endHours":24.329977615701157,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"02:02","startHours":24.329977615701157,"endHours":26.026096697097692,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"03:43","startHours":26.026096697097692,"endHours":27.72221577849423,"quality":"auspicious"},{"name":"Kāla","start":"03:43","end":"05:25","startHours":27.72221577849423,"endHours":29.418334859890766,"quality":"inauspicious"},{"name":"Śubha","start":"05:25","end":"07:07","startHours":29.418334859890766,"endHours":31.1144539412873,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1144539412873025,"endHours":8.114453941287302,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.114453941287302,"endHours":9.114453941287302,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.114453941287302,"endHours":10.114453941287302,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.114453941287302,"endHours":11.114453941287302,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.114453941287302,"endHours":12.114453941287302,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.114453941287302,"endHours":13.114453941287302,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.114453941287302,"endHours":14.114453941287302,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.114453941287302,"endHours":15.114453941287302,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.114453941287302,"endHours":16.1144539412873,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.1144539412873,"endHours":17.1144539412873,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.1144539412873,"endHours":18.1144539412873,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.1144539412873,"endHours":19.1144539412873,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.1144539412873,"endHours":20.1144539412873,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.1144539412873,"endHours":21.1144539412873,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.1144539412873,"endHours":22.1144539412873,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.1144539412873,"endHours":23.1144539412873,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.1144539412873,"endHours":24.1144539412873,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.1144539412873,"endHours":25.1144539412873,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.1144539412873,"endHours":26.1144539412873,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.1144539412873,"endHours":27.1144539412873,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.1144539412873,"endHours":28.1144539412873,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.1144539412873,"endHours":29.1144539412873,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.1144539412873,"endHours":30.1144539412873,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.1144539412873,"endHours":31.1144539412873,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","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":-23.07956393140473,"eotMinutes":-0.4934569420694592,"ayanamsa":-48.0196}},"calendars":{"vikram_samvat":-3089,"saka_samvat":-3224,"bengali_samvat":-3739,"malayalam_era":-3970,"nanakshahi_year":-4615,"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 -3089 undefined · Śaka -3224 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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Ravivāra (Sunday) — 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 25, 3147 BCE · Mathurā · Vidhyamitra","description":"December 25, 3147 BCE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 07:07, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3146-12-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3146-12-25","sa":"https://sa.vidhyamitra.com/city/mathura/-3146-12-25","hi":"https://hi.vidhyamitra.com/city/mathura/-3146-12-25","x-default":"https://vidhyamitra.com/city/mathura/-3146-12-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T19:54:58.056Z","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":"2026-08-10T19:54:58.056Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T19:54:58.056Z","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"}}}