{"id":"vidhyamitra:city-day:rishikesh:2172-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2172-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-10-01","date_display":"October 1, 2172 CE","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2172,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514640.770833,"kali_year":5274,"ahargana":1926175.2708,"sun":{"sidereal_longitude":161.1027,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":329.343,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.2404,"elapsed_within_tithi_degrees":0.2404},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.343,"elapsed_within_degrees":9.343},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.4457},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2172,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514640.770833,"ahargana":1926175.2708,"kali_year":5274,"ayanamsa_lahiri":26.2662,"grahas":{"sun":{"sidereal_longitude":162.26748799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":329.040788,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":-2.4241},"mars":{"sidereal_longitude":225.90778799999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":182.697988,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":200.42168800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":128.76108799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":328.7812879999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":1.9647,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":181.9647,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2172,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514640.770833,"kali_year":5274,"ahargana":1926175.2708,"sun":{"sidereal_longitude":161.1027,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":329.343,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":168.2404,"elapsed_within_tithi_degrees":0.2404},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.343,"elapsed_within_degrees":9.343},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.4457},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.424,"elongation":168.24},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.424,"opposition_distance":11.76}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":-1.458,"opposition_distance":0.906}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:10","sunsetLocal":"18:02","solarNoonLocal":"12:06","dayLengthHours":11.866890514789818,"dayLengthDisplay":"11 Hours 52 Mins 01 Secs","nightLengthDisplay":"12 Hours 07 Mins 59 Secs","moonriseLocal":"17:14","moonsetLocal":"05:11","rahuKala":{"name":"Rāhu Kāla","start":"13:35","end":"15:04","startHours":13.579391911238986,"endHours":15.062753225587713,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:10","end":"07:39","startHours":6.162585339495349,"endHours":7.645946653844076,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:37","startHours":9.129307968192803,"endHours":10.612669282541532,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:20","startHours":8.931526459612973,"endHours":9.327089476772635,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.6570391109449245,"endHours":6.973489524672653,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.700467579730597,"endHours":12.49159361404992,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:22","startHours":4.580333270856707,"endHours":5.371459305176028,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:10","startHours":5.1736777965961975,"endHours":6.162585339495349,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:52","startHours":14.07384568268856,"endHours":14.864971717007881,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.829475854285167,"endHours":18.229475854285166,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:31","startHours":18.029475854285167,"endHours":18.52392962573474,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.779475854285167,"endHours":19.529475854285167,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.7004675797306,"endHours":24.49159361404992,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:10","end":"07:39","startHours":6.162585339495349,"endHours":7.645946653844076,"quality":"auspicious"},{"name":"Roga","start":"07:39","end":"09:08","startHours":7.645946653844076,"endHours":9.129307968192803,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:37","startHours":9.129307968192803,"endHours":10.612669282541532,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:06","startHours":10.612669282541532,"endHours":12.096030596890259,"quality":"neutral"},{"name":"Labha","start":"12:06","end":"13:35","startHours":12.096030596890259,"endHours":13.579391911238986,"quality":"auspicious"},{"name":"Amṛta","start":"13:35","end":"15:04","startHours":13.579391911238986,"endHours":15.062753225587713,"quality":"auspicious"},{"name":"Kāla","start":"15:04","end":"16:33","startHours":15.062753225587713,"endHours":16.54611453993644,"quality":"inauspicious"},{"name":"Śubha","start":"16:33","end":"18:02","startHours":16.54611453993644,"endHours":18.029475854285167,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:02","end":"19:33","startHours":18.029475854285167,"endHours":19.54611453993644,"quality":"auspicious"},{"name":"Kāla","start":"19:33","end":"21:04","startHours":19.54611453993644,"endHours":21.062753225587713,"quality":"inauspicious"},{"name":"Śubha","start":"21:04","end":"22:35","startHours":21.062753225587713,"endHours":22.579391911238986,"quality":"auspicious"},{"name":"Roga","start":"22:35","end":"00:06","startHours":22.579391911238986,"endHours":24.09603059689026,"quality":"inauspicious"},{"name":"Udveg","start":"00:06","end":"01:37","startHours":24.09603059689026,"endHours":25.612669282541532,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:08","startHours":25.612669282541532,"endHours":27.129307968192805,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:39","startHours":27.129307968192805,"endHours":28.645946653844078,"quality":"auspicious"},{"name":"Amṛta","start":"04:39","end":"06:10","startHours":28.645946653844078,"endHours":30.16258533949535,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.162585339495349,"endHours":7.162585339495349,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.162585339495349,"endHours":8.16258533949535,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.16258533949535,"endHours":9.16258533949535,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.16258533949535,"endHours":10.16258533949535,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.16258533949535,"endHours":11.16258533949535,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.16258533949535,"endHours":12.16258533949535,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.16258533949535,"endHours":13.16258533949535,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.16258533949535,"endHours":14.16258533949535,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.16258533949535,"endHours":15.16258533949535,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.16258533949535,"endHours":16.16258533949535,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.16258533949535,"endHours":17.16258533949535,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.16258533949535,"endHours":18.16258533949535,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.16258533949535,"endHours":19.16258533949535,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.16258533949535,"endHours":20.16258533949535,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.16258533949535,"endHours":21.16258533949535,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.16258533949535,"endHours":22.16258533949535,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.16258533949535,"endHours":23.16258533949535,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.16258533949535,"endHours":24.16258533949535,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.16258533949535,"endHours":25.16258533949535,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.16258533949535,"endHours":26.16258533949535,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.16258533949535,"endHours":27.16258533949535,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.16258533949535,"endHours":28.16258533949535,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.16258533949535,"endHours":29.16258533949535,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.16258533949535,"endHours":30.16258533949535,"planetary_lord":"Moon"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.3835560586703806,"eotMinutes":11.167764186584405,"ayanamsa":26.2662}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 1, 2172 CE · Ṛṣikeśa · Vidhyamitra","description":"October 1, 2172 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 06:10, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2172-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2172-10-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2172-10-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2172-10-01","x-default":"https://vidhyamitra.com/city/rishikesh/2172-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T13:59:16.333Z","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":"2026-05-27T13:59:16.333Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T13:59:16.333Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}