{"id":"vidhyamitra:city-day:mathura:-3208-10-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3208-10-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3208-10-17","date_display":"October 17, 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":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549625.770833,"kali_year":-106,"ahargana":-38839.7292,"sun":{"sidereal_longitude":238.7163,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":150.2319,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.5156,"elapsed_within_tithi_degrees":7.5156},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.2319,"elapsed_within_degrees":3.5652},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.9482},"karana":{"half_tithi_index":45,"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":-3208,"month":10,"day":17,"hour":6,"minute":30,"calendar":"julian"},"julian_day":549625.770833,"ahargana":-38839.7292,"kali_year":-106,"ayanamsa_lahiri":-48.8883,"grahas":{"sun":{"sidereal_longitude":238.7163,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":150.2319,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":4.287},"mars":{"sidereal_longitude":187.9813,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":222.6017,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":6.5785,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":254.5799,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":156.6293,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":77.9158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.9158,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":549625.770833,"kali_year":-106,"ahargana":-38839.7292,"sun":{"sidereal_longitude":238.7163,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":150.2319,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.5156,"elapsed_within_tithi_degrees":7.5156},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.2319,"elapsed_within_degrees":3.5652},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":28.9482},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.287,"elongation":88.484},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.287,"opposition_distance":91.516}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":1.05,"elongation":1.868}]},"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":"06:08","sunsetLocal":"18:00","solarNoonLocal":"12:04","dayLengthHours":11.854960504446012,"dayLengthDisplay":"11 Hours 51 Mins 18 Secs","nightLengthDisplay":"12 Hours 08 Mins 42 Secs","moonriseLocal":"23:16","moonsetLocal":"13:04","rahuKala":{"name":"Rāhu Kāla","start":"07:37","end":"09:06","startHours":7.62235281813228,"endHours":9.104222881188033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:04","startHours":10.586092944243784,"endHours":12.067963007299536,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:33","end":"15:02","startHours":13.549833070355287,"endHours":15.031703133411039,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.90664020611393,"endHours":9.301805556262131,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:57","startHours":6.63443944276178,"endHours":6.95057172288034,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:28","startHours":11.672797657151335,"endHours":12.463128357447737,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:21","startHours":4.559821354483727,"endHours":5.3501520547801285,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:08","startHours":5.152569379706028,"endHours":6.140482755076529,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:50","startHours":14.043789758040537,"endHours":14.834120458336939,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.795443259522543,"endHours":18.19544325952254,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:29","startHours":17.995443259522542,"endHours":18.489399947207794,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.745443259522542,"endHours":19.495443259522542,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:28","startHours":23.672797657151335,"endHours":24.463128357447737,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:08","end":"07:37","startHours":6.140482755076529,"endHours":7.62235281813228,"quality":"auspicious"},{"name":"Kāla","start":"07:37","end":"09:06","startHours":7.62235281813228,"endHours":9.104222881188033,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:35","startHours":9.104222881188033,"endHours":10.586092944243784,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:04","startHours":10.586092944243784,"endHours":12.067963007299536,"quality":"inauspicious"},{"name":"Udveg","start":"12:04","end":"13:33","startHours":12.067963007299536,"endHours":13.549833070355287,"quality":"inauspicious"},{"name":"Chala","start":"13:33","end":"15:02","startHours":13.549833070355287,"endHours":15.031703133411039,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:31","startHours":15.031703133411039,"endHours":16.51357319646679,"quality":"auspicious"},{"name":"Amṛta","start":"16:31","end":"18:00","startHours":16.51357319646679,"endHours":17.995443259522542,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:00","end":"19:31","startHours":17.995443259522542,"endHours":19.51357319646679,"quality":"neutral"},{"name":"Labha","start":"19:31","end":"21:02","startHours":19.51357319646679,"endHours":21.03170313341104,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:33","startHours":21.03170313341104,"endHours":22.549833070355287,"quality":"auspicious"},{"name":"Kāla","start":"22:33","end":"00:04","startHours":22.549833070355287,"endHours":24.067963007299536,"quality":"inauspicious"},{"name":"Śubha","start":"00:04","end":"01:35","startHours":24.067963007299536,"endHours":25.586092944243784,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"03:06","startHours":25.586092944243784,"endHours":27.104222881188033,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:37","startHours":27.104222881188033,"endHours":28.62235281813228,"quality":"inauspicious"},{"name":"Chala","start":"04:37","end":"06:08","startHours":28.62235281813228,"endHours":30.14048275507653,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:08","end":"07:08","startHours":6.140482755076529,"endHours":7.140482755076529,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:08","end":"08:08","startHours":7.140482755076529,"endHours":8.14048275507653,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:08","end":"09:08","startHours":8.14048275507653,"endHours":9.14048275507653,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:08","end":"10:08","startHours":9.14048275507653,"endHours":10.14048275507653,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:08","end":"11:08","startHours":10.14048275507653,"endHours":11.14048275507653,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:08","end":"12:08","startHours":11.14048275507653,"endHours":12.14048275507653,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:08","end":"13:08","startHours":12.14048275507653,"endHours":13.14048275507653,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:08","end":"14:08","startHours":13.14048275507653,"endHours":14.14048275507653,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:08","end":"15:08","startHours":14.14048275507653,"endHours":15.14048275507653,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:08","end":"16:08","startHours":15.14048275507653,"endHours":16.14048275507653,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:08","end":"17:08","startHours":16.14048275507653,"endHours":17.14048275507653,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:08","end":"18:08","startHours":17.14048275507653,"endHours":18.14048275507653,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:08","end":"19:08","startHours":18.14048275507653,"endHours":19.14048275507653,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:08","end":"20:08","startHours":19.14048275507653,"endHours":20.14048275507653,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:08","end":"21:08","startHours":20.14048275507653,"endHours":21.14048275507653,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:08","end":"22:08","startHours":21.14048275507653,"endHours":22.14048275507653,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:08","end":"23:08","startHours":22.14048275507653,"endHours":23.14048275507653,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:08","end":"00:08","startHours":23.14048275507653,"endHours":24.14048275507653,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:08","end":"01:08","startHours":24.14048275507653,"endHours":25.14048275507653,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:08","end":"02:08","startHours":25.14048275507653,"endHours":26.14048275507653,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:08","end":"03:08","startHours":26.14048275507653,"endHours":27.14048275507653,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:08","end":"04:08","startHours":27.14048275507653,"endHours":28.14048275507653,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:08","end":"05:08","startHours":28.14048275507653,"endHours":29.14048275507653,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:08","end":"06:08","startHours":29.14048275507653,"endHours":30.14048275507653,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.8927684144775117,"eotMinutes":15.227419562027912,"ayanamsa":-48.8883}},"calendars":{"vikram_samvat":-3151,"saka_samvat":-3286,"bengali_samvat":-3801,"malayalam_era":-4032,"nanakshahi_year":-4677,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram -3151 undefined · Śaka -3286 undefined"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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 Kālabhairava Aṣṭamī 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 October 17, 3209 BCE · Mathurā · Vidhyamitra","description":"October 17, 3209 BCE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 06:08, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3208-10-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3208-10-17","sa":"https://sa.vidhyamitra.com/city/mathura/-3208-10-17","hi":"https://hi.vidhyamitra.com/city/mathura/-3208-10-17","x-default":"https://vidhyamitra.com/city/mathura/-3208-10-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-14T02:39:34.758Z","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":"2026-08-14T02:39:34.758Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-14T02:39:34.758Z","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"}}}