{"id":"vidhyamitra:city-day:mathura:-0468-09-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-09-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-09-10","date_display":"September 10, 469 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":-468,"month":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550373.770833,"kali_year":2634,"ahargana":961908.2708,"sun":{"sidereal_longitude":177.0113,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":282.9,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.8887,"elapsed_within_tithi_degrees":9.8887},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9,"elapsed_within_degrees":2.9},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.9113},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":-468,"month":9,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550373.770833,"ahargana":961908.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6134,"grahas":{"sun":{"sidereal_longitude":177.0113,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":282.9,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.4744},"mars":{"sidereal_longitude":108.1376,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":186.4401,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":11.2539,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":225.6844,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":137.6998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":333.4708,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.4708,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":-468,"month":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550373.770833,"kali_year":2634,"ahargana":961908.2708,"sun":{"sidereal_longitude":177.0113,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":282.9,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.8887,"elapsed_within_tithi_degrees":9.8887},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9,"elapsed_within_degrees":2.9},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.9113},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.474,"elongation":105.889},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.474,"opposition_distance":74.111}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-1.041,"elongation":0.774}]},"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":"06:01","sunsetLocal":"18:31","solarNoonLocal":"12:16","dayLengthHours":12.499610852951635,"dayLengthDisplay":"12 Hours 29 Mins 59 Secs","nightLengthDisplay":"11 Hours 30 Mins 01 Secs","moonriseLocal":"14:08","moonsetLocal":"00:30","rahuKala":{"name":"Rāhu Kāla","start":"07:34","end":"09:08","startHours":7.573617633849034,"endHours":9.136068990467988,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:16","startHours":10.698520347086944,"endHours":12.260971703705899,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:23","startHours":13.823423060324853,"endHours":15.385874416943807,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.927742142918795,"endHours":9.344395838017183,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.531983396103064,"endHours":6.865306352181775,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:41","startHours":11.84431800860751,"endHours":12.677625398804286,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:11","startHours":4.344551496836528,"endHours":5.177858887033304,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:01","startHours":4.96953203948411,"endHours":6.01116627723008,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:11","startHours":14.344240179197836,"endHours":15.177547569394612,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.310777130181716,"endHours":18.710777130181715,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:02","startHours":18.510777130181715,"endHours":19.0315942490547,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.260777130181715,"endHours":20.010777130181715,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:41","startHours":23.844318008607512,"endHours":24.677625398804285,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:01","end":"07:34","startHours":6.01116627723008,"endHours":7.573617633849034,"quality":"auspicious"},{"name":"Kāla","start":"07:34","end":"09:08","startHours":7.573617633849034,"endHours":9.136068990467988,"quality":"inauspicious"},{"name":"Śubha","start":"09:08","end":"10:42","startHours":9.136068990467988,"endHours":10.698520347086944,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:16","startHours":10.698520347086944,"endHours":12.260971703705899,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:49","startHours":12.260971703705899,"endHours":13.823423060324853,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:23","startHours":13.823423060324853,"endHours":15.385874416943807,"quality":"neutral"},{"name":"Labha","start":"15:23","end":"16:57","startHours":15.385874416943807,"endHours":16.94832577356276,"quality":"auspicious"},{"name":"Amṛta","start":"16:57","end":"18:31","startHours":16.94832577356276,"endHours":18.510777130181715,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:31","end":"19:57","startHours":18.510777130181715,"endHours":19.94832577356276,"quality":"neutral"},{"name":"Labha","start":"19:57","end":"21:23","startHours":19.94832577356276,"endHours":21.385874416943807,"quality":"auspicious"},{"name":"Amṛta","start":"21:23","end":"22:49","startHours":21.385874416943807,"endHours":22.823423060324853,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:16","startHours":22.823423060324853,"endHours":24.2609717037059,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:42","startHours":24.2609717037059,"endHours":25.698520347086944,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:08","startHours":25.698520347086944,"endHours":27.13606899046799,"quality":"inauspicious"},{"name":"Udveg","start":"03:08","end":"04:34","startHours":27.13606899046799,"endHours":28.573617633849032,"quality":"inauspicious"},{"name":"Chala","start":"04:34","end":"06:01","startHours":28.573617633849032,"endHours":30.011166277230082,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.01116627723008,"endHours":7.01116627723008,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.01116627723008,"endHours":8.01116627723008,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.01116627723008,"endHours":9.01116627723008,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.01116627723008,"endHours":10.01116627723008,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.01116627723008,"endHours":11.01116627723008,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.01116627723008,"endHours":12.01116627723008,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.01116627723008,"endHours":13.01116627723008,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.01116627723008,"endHours":14.01116627723008,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.01116627723008,"endHours":15.01116627723008,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.01116627723008,"endHours":16.011166277230082,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.011166277230082,"endHours":17.011166277230082,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.011166277230082,"endHours":18.011166277230082,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.011166277230082,"endHours":19.011166277230082,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.011166277230082,"endHours":20.011166277230082,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.011166277230082,"endHours":21.011166277230082,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.011166277230082,"endHours":22.011166277230082,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.011166277230082,"endHours":23.011166277230082,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.011166277230082,"endHours":24.011166277230082,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.011166277230082,"endHours":25.011166277230082,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.011166277230082,"endHours":26.011166277230082,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.011166277230082,"endHours":27.011166277230082,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.011166277230082,"endHours":28.011166277230082,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.011166277230082,"endHours":29.011166277230082,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.011166277230082,"endHours":30.011166277230082,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":5.367168328463554,"eotMinutes":3.6468977776461458,"ayanamsa":-10.6134}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"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 Mahā-Navamī 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 September 10, 469 BCE · Mathurā · Vidhyamitra","description":"September 10, 469 BCE for Mathurā: Śukla Navamī, sūryodaya 06:01, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-09-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-09-10","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-09-10","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-09-10","x-default":"https://vidhyamitra.com/city/mathura/-0468-09-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T10:09:36.609Z","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":"2026-09-12T10:09:36.609Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T10:09:36.609Z","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"}}}