{"id":"vidhyamitra:city-day:mathura:-3207-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3207-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3207-09-04","date_display":"September 4, 3208 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":-3207,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549947.770833,"kali_year":-105,"ahargana":-38517.7292,"sun":{"sidereal_longitude":194.726,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":80.9645,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.2385,"elapsed_within_tithi_degrees":6.2385},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.9645,"elapsed_within_degrees":0.9645},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.6905},"karana":{"half_tithi_index":41,"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":-3207,"month":9,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549947.770833,"ahargana":-38517.7292,"kali_year":-105,"ayanamsa_lahiri":-48.876,"grahas":{"sun":{"sidereal_longitude":194.726,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":80.9645,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":1.5458},"mars":{"sidereal_longitude":298.1955,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":182.4516,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":50.5318,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":201.0101,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":164.5891,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":60.8547,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.8547,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":-3207,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549947.770833,"kali_year":-105,"ahargana":-38517.7292,"sun":{"sidereal_longitude":194.726,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":80.9645,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.2385,"elapsed_within_tithi_degrees":6.2385},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.9645,"elapsed_within_degrees":0.9645},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.6905},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.546,"elongation":113.761},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.546,"opposition_distance":66.239}},"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":"05:47","sunsetLocal":"18:49","solarNoonLocal":"12:18","dayLengthHours":13.042289811245176,"dayLengthDisplay":"13 Hours 02 Mins 32 Secs","nightLengthDisplay":"10 Hours 57 Mins 28 Secs","moonriseLocal":"22:14","moonsetLocal":"11:11","rahuKala":{"name":"Rāhu Kāla","start":"07:24","end":"09:02","startHours":7.405930719162125,"endHours":9.036216945567773,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"12:18","startHours":10.66650317197342,"endHours":12.296789398379065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:33","startHours":13.927075624784713,"endHours":15.557361851190361,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.818845448713686,"endHours":9.253588442421858,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.319073234891694,"endHours":6.666867629858232,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.862046404670894,"endHours":12.731532392087237,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:54","startHours":4.036672517923788,"endHours":4.906158505340133,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:47","startHours":4.688787008486047,"endHours":5.775644492756478,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.47050436691993,"endHours":15.339990354336274,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.617934304001654,"endHours":19.017934304001653,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:22","startHours":18.817934304001653,"endHours":19.36136304613687,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.567934304001653,"endHours":20.317934304001653,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.86204640467089,"endHours":24.73153239208724,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:47","end":"07:24","startHours":5.775644492756478,"endHours":7.405930719162125,"quality":"auspicious"},{"name":"Kāla","start":"07:24","end":"09:02","startHours":7.405930719162125,"endHours":9.036216945567773,"quality":"inauspicious"},{"name":"Śubha","start":"09:02","end":"10:40","startHours":9.036216945567773,"endHours":10.66650317197342,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"12:18","startHours":10.66650317197342,"endHours":12.296789398379065,"quality":"inauspicious"},{"name":"Udveg","start":"12:18","end":"13:56","startHours":12.296789398379065,"endHours":13.927075624784713,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:33","startHours":13.927075624784713,"endHours":15.557361851190361,"quality":"neutral"},{"name":"Labha","start":"15:33","end":"17:11","startHours":15.557361851190361,"endHours":17.187648077596005,"quality":"auspicious"},{"name":"Amṛta","start":"17:11","end":"18:49","startHours":17.187648077596005,"endHours":18.817934304001653,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:49","end":"20:11","startHours":18.817934304001653,"endHours":20.187648077596005,"quality":"neutral"},{"name":"Labha","start":"20:11","end":"21:33","startHours":20.187648077596005,"endHours":21.557361851190358,"quality":"auspicious"},{"name":"Amṛta","start":"21:33","end":"22:56","startHours":21.557361851190358,"endHours":22.927075624784713,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:18","startHours":22.927075624784713,"endHours":24.296789398379065,"quality":"inauspicious"},{"name":"Śubha","start":"00:18","end":"01:40","startHours":24.296789398379065,"endHours":25.666503171973417,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"03:02","startHours":25.666503171973417,"endHours":27.036216945567773,"quality":"inauspicious"},{"name":"Udveg","start":"03:02","end":"04:24","startHours":27.036216945567773,"endHours":28.405930719162125,"quality":"inauspicious"},{"name":"Chala","start":"04:24","end":"05:47","startHours":28.405930719162125,"endHours":29.775644492756477,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.775644492756478,"endHours":6.775644492756478,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.775644492756478,"endHours":7.775644492756478,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.775644492756478,"endHours":8.775644492756477,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.775644492756477,"endHours":9.775644492756477,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.775644492756477,"endHours":10.775644492756477,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.775644492756477,"endHours":11.775644492756477,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.775644492756477,"endHours":12.775644492756477,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.775644492756477,"endHours":13.775644492756477,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.775644492756477,"endHours":14.775644492756477,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.775644492756477,"endHours":15.775644492756477,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.775644492756477,"endHours":16.775644492756477,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.775644492756477,"endHours":17.775644492756477,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.775644492756477,"endHours":18.775644492756477,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.775644492756477,"endHours":19.775644492756477,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.775644492756477,"endHours":20.775644492756477,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.775644492756477,"endHours":21.775644492756477,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.775644492756477,"endHours":22.775644492756477,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.775644492756477,"endHours":23.775644492756477,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.775644492756477,"endHours":24.775644492756477,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.775644492756477,"endHours":25.775644492756477,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.775644492756477,"endHours":26.775644492756477,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.775644492756477,"endHours":27.775644492756477,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.775644492756477,"endHours":28.775644492756477,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.775644492756477,"endHours":29.775644492756477,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.901265827062833,"eotMinutes":1.4978360972560227,"ayanamsa":-48.876}},"calendars":{"vikram_samvat":-3150,"saka_samvat":-3285,"bengali_samvat":-3800,"malayalam_era":-4031,"nanakshahi_year":-4676,"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 Ṣaṣṭhī · Vikram -3150 undefined · Śaka -3285 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 September 4, 3208 BCE · Mathurā · Vidhyamitra","description":"September 4, 3208 BCE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:47, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3207-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3207-09-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3207-09-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3207-09-04","x-default":"https://vidhyamitra.com/city/mathura/-3207-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T11:38:54.241Z","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":"2026-09-08T11:38:54.241Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T11:38:54.241Z","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"}}}