{"id":"vidhyamitra:city-day:mathura:-3186-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3186-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3186-01-04","date_display":"January 4, 3187 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":-3186,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557374.770833,"kali_year":-85,"ahargana":-31090.7292,"sun":{"sidereal_longitude":318.9871,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":14.9066,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.9194,"elapsed_within_tithi_degrees":7.9194},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.9066,"elapsed_within_degrees":1.5732},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8937},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":-3186,"month":1,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557374.770833,"ahargana":-31090.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5919,"grahas":{"sun":{"sidereal_longitude":318.9871,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":14.9066,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-0.9677},"mars":{"sidereal_longitude":283.0096,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":290.5768,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":297.2598,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":282.0906,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":30.7774,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":27.3365,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.3365,"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":-3186,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557374.770833,"kali_year":-85,"ahargana":-31090.7292,"sun":{"sidereal_longitude":318.9871,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":14.9066,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.9194,"elapsed_within_tithi_degrees":7.9194},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.9066,"elapsed_within_degrees":1.5732},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8937},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.968,"elongation":55.919},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.968,"opposition_distance":124.081}},"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":"07:12","sunsetLocal":"17:36","solarNoonLocal":"12:24","dayLengthHours":10.401485581028496,"dayLengthDisplay":"10 Hours 24 Mins 05 Secs","nightLengthDisplay":"13 Hours 35 Mins 55 Secs","moonriseLocal":"10:32","moonsetLocal":"21:44","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:48","startHours":8.504928021536752,"endHours":9.805113719165313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.105299416793876,"endHours":12.405485114422437,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:42","end":"15:00","startHours":13.705670812051,"endHours":15.00585650967956,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.631755626148172,"endHours":9.978471812182455,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.638137556451044,"endHours":7.91551050527847,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:45","startHours":12.058768928388153,"endHours":12.75220130045672,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.817877579771057,"endHours":6.511309951839623,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:12","startHours":6.337951858822482,"endHours":7.20474232390819,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139066044593854,"endHours":14.83249841666242,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.406227904936685,"endHours":17.806227904936684,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.606227904936684,"endHours":18.039623137479538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.356227904936684,"endHours":19.106227904936684,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:45","startHours":24.058768928388155,"endHours":24.75220130045672,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:12","end":"08:30","startHours":7.20474232390819,"endHours":8.504928021536752,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:48","startHours":8.504928021536752,"endHours":9.805113719165313,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:06","startHours":9.805113719165313,"endHours":11.105299416793876,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.105299416793876,"endHours":12.405485114422437,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:42","startHours":12.405485114422437,"endHours":13.705670812051,"quality":"inauspicious"},{"name":"Chala","start":"13:42","end":"15:00","startHours":13.705670812051,"endHours":15.00585650967956,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:18","startHours":15.00585650967956,"endHours":16.306042207308124,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:36","startHours":16.306042207308124,"endHours":17.606227904936684,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:36","end":"19:18","startHours":17.606227904936684,"endHours":19.306042207308124,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"21:00","startHours":19.306042207308124,"endHours":21.00585650967956,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:42","startHours":21.00585650967956,"endHours":22.705670812050997,"quality":"auspicious"},{"name":"Kāla","start":"22:42","end":"00:24","startHours":22.705670812050997,"endHours":24.405485114422437,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.105299416793876,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:48","startHours":26.105299416793876,"endHours":27.805113719165313,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:30","startHours":27.805113719165313,"endHours":29.50492802153675,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:12","startHours":29.50492802153675,"endHours":31.20474232390819,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.20474232390819,"endHours":8.204742323908189,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.204742323908189,"endHours":9.204742323908189,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.204742323908189,"endHours":10.204742323908189,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.204742323908189,"endHours":11.204742323908189,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.204742323908189,"endHours":12.204742323908189,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.204742323908189,"endHours":13.204742323908189,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.204742323908189,"endHours":14.204742323908189,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.204742323908189,"endHours":15.204742323908189,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.204742323908189,"endHours":16.20474232390819,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.20474232390819,"endHours":17.20474232390819,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.20474232390819,"endHours":18.20474232390819,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.20474232390819,"endHours":19.20474232390819,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.20474232390819,"endHours":20.20474232390819,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.20474232390819,"endHours":21.20474232390819,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.20474232390819,"endHours":22.20474232390819,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.20474232390819,"endHours":23.20474232390819,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.20474232390819,"endHours":24.20474232390819,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.20474232390819,"endHours":25.20474232390819,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.20474232390819,"endHours":26.20474232390819,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.20474232390819,"endHours":27.20474232390819,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.20474232390819,"endHours":28.20474232390819,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.20474232390819,"endHours":29.20474232390819,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.20474232390819,"endHours":30.20474232390819,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.20474232390819,"endHours":31.20474232390819,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.43590916959707,"eotMinutes":-5.02390686534617,"ayanamsa":-48.5919}},"calendars":{"vikram_samvat":-3129,"vikram_samvatsara":"Prabhava","saka_samvat":-3264,"bengali_samvat":-3779,"malayalam_era":-4010,"nanakshahi_year":-4655,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla 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 Śukla Pañcamī · Vikram -3129 Prabhava · Śaka -3264 undefined"},"festivals":[],"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":"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 January 4, 3187 BCE · Mathurā · Vidhyamitra","description":"January 4, 3187 BCE for Mathurā: Śukla Pañcamī, sūryodaya 07:12, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3186-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3186-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3186-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3186-01-04","x-default":"https://vidhyamitra.com/city/mathura/-3186-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:54:17.261Z","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":"2026-09-06T11:54:17.261Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:54:17.261Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}