{"id":"vidhyamitra:city-day:mathura:-3208-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3208-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-07-04","date_display":"July 4, 3209 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":-3208,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549520.770833,"kali_year":-106,"ahargana":-38944.7292,"sun":{"sidereal_longitude":133.9843,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":207.2116,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.2273,"elapsed_within_tithi_degrees":1.2273},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.2116,"elapsed_within_degrees":7.2116},"yoga":{"number":26,"name":"Indra","sum_longitude":341.1958},"karana":{"half_tithi_index":12,"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":-3208,"month":7,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549520.770833,"ahargana":-38944.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8923,"grahas":{"sun":{"sidereal_longitude":133.9843,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":207.2116,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":3.7412},"mars":{"sidereal_longitude":122.9533,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":131.5279,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":16.7366,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":176.5874,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":145.7091,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":83.4792,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.4792,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3208,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549520.770833,"kali_year":-106,"ahargana":-38944.7292,"sun":{"sidereal_longitude":133.9843,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":207.2116,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.2273,"elapsed_within_tithi_degrees":1.2273},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.2116,"elapsed_within_degrees":7.2116},"yoga":{"number":26,"name":"Indra","sum_longitude":341.1958},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.741,"elongation":73.227},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.741,"opposition_distance":106.773}},"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":"05:27","sunsetLocal":"19:19","solarNoonLocal":"12:23","dayLengthHours":13.870894526944126,"dayLengthDisplay":"13 Hours 52 Mins 15 Secs","nightLengthDisplay":"10 Hours 07 Mins 45 Secs","moonriseLocal":"10:56","moonsetLocal":"23:37","rahuKala":{"name":"Rāhu Kāla","start":"07:11","end":"08:55","startHours":7.1871564400053245,"endHours":8.92101825587334,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:23","startHours":10.654880071741356,"endHours":12.38874188760937,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:51","startHours":14.122603703477386,"endHours":15.856465519345402,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:09","startHours":8.689836680424271,"endHours":9.15219983132241,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.031248562759981,"endHours":6.4011390834784905,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.926378736711232,"endHours":12.851105038507509,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:32","startHours":3.6038420205447586,"endHours":4.528568322341034,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:27","startHours":4.297386746891965,"endHours":5.453294624137309,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:38","startHours":14.700557642100058,"endHours":15.625283943896333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:07","end":"19:31","startHours":19.124189151081435,"endHours":19.524189151081433,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:19","end":"19:54","startHours":19.324189151081434,"endHours":19.902143089704104,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:04","end":"20:49","startHours":19.074189151081434,"endHours":20.824189151081434,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.926378736711232,"endHours":24.85110503850751,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:27","end":"07:11","startHours":5.453294624137309,"endHours":7.1871564400053245,"quality":"auspicious"},{"name":"Kāla","start":"07:11","end":"08:55","startHours":7.1871564400053245,"endHours":8.92101825587334,"quality":"inauspicious"},{"name":"Śubha","start":"08:55","end":"10:39","startHours":8.92101825587334,"endHours":10.654880071741356,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:23","startHours":10.654880071741356,"endHours":12.38874188760937,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.122603703477386,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:51","startHours":14.122603703477386,"endHours":15.856465519345402,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:35","startHours":15.856465519345402,"endHours":17.590327335213416,"quality":"auspicious"},{"name":"Amṛta","start":"17:35","end":"19:19","startHours":17.590327335213416,"endHours":19.324189151081434,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:19","end":"20:35","startHours":19.324189151081434,"endHours":20.59032733521342,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"21:51","startHours":20.59032733521342,"endHours":21.856465519345402,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:07","startHours":21.856465519345402,"endHours":23.122603703477388,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:23","startHours":23.122603703477388,"endHours":24.38874188760937,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:39","startHours":24.38874188760937,"endHours":25.654880071741356,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"02:55","startHours":25.654880071741356,"endHours":26.921018255873342,"quality":"inauspicious"},{"name":"Udveg","start":"02:55","end":"04:11","startHours":26.921018255873342,"endHours":28.187156440005324,"quality":"inauspicious"},{"name":"Chala","start":"04:11","end":"05:27","startHours":28.187156440005324,"endHours":29.453294624137307,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.453294624137309,"endHours":6.453294624137309,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.453294624137309,"endHours":7.453294624137309,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.453294624137309,"endHours":8.453294624137309,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.453294624137309,"endHours":9.453294624137309,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.453294624137309,"endHours":10.453294624137309,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.453294624137309,"endHours":11.453294624137309,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.453294624137309,"endHours":12.453294624137309,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.453294624137309,"endHours":13.453294624137309,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.453294624137309,"endHours":14.453294624137309,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.453294624137309,"endHours":15.453294624137309,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.453294624137309,"endHours":16.453294624137307,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.453294624137307,"endHours":17.453294624137307,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.453294624137307,"endHours":18.453294624137307,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.453294624137307,"endHours":19.453294624137307,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.453294624137307,"endHours":20.453294624137307,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.453294624137307,"endHours":21.453294624137307,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.453294624137307,"endHours":22.453294624137307,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.453294624137307,"endHours":23.453294624137307,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.453294624137307,"endHours":24.453294624137307,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.453294624137307,"endHours":25.453294624137307,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.453294624137307,"endHours":26.453294624137307,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.453294624137307,"endHours":27.453294624137307,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.453294624137307,"endHours":28.453294624137307,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.453294624137307,"endHours":29.453294624137307,"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.345461346758018,"eotMinutes":-4.019313256562166,"ayanamsa":-48.8923}},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · Vikram -3151 undefined · Śaka -3286 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 July 4, 3209 BCE · Mathurā · Vidhyamitra","description":"July 4, 3209 BCE for Mathurā: Śukla Saptamī, sūryodaya 05:27, sūryāsta 19:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3208-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3208-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3208-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3208-07-04","x-default":"https://vidhyamitra.com/city/mathura/-3208-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T16:16:25.833Z","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":"2026-09-08T16:16:25.833Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T16:16:25.833Z","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"}}}