{"id":"vidhyamitra:city-day:rishikesh:2115-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2115-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-10-03","date_display":"October 3, 2115 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":2115,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493822.770833,"kali_year":5217,"ahargana":1905357.2708,"sun":{"sidereal_longitude":162.8204,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":332.2512,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.4308,"elapsed_within_tithi_degrees":1.4308},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.2512,"elapsed_within_degrees":12.2512},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.0715},"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":2115,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493822.770833,"ahargana":1905357.2708,"kali_year":5217,"ayanamsa_lahiri":25.47,"grahas":{"sun":{"sidereal_longitude":163.84678899999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":333.9911890000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-3.5807},"mars":{"sidereal_longitude":160.43388900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":147.55818900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":265.502289,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":182.625989,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":355.764289,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":25.0026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":205.0026,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"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":2115,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493822.770833,"kali_year":5217,"ahargana":1905357.2708,"sun":{"sidereal_longitude":162.8204,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":332.2512,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.4308,"elapsed_within_tithi_degrees":1.4308},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.2512,"elapsed_within_degrees":12.2512},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.0715},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.581,"elongation":169.431},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.581,"opposition_distance":10.569}},"eclipse_window_40days":[]},"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":"18:00","solarNoonLocal":"12:05","dayLengthHours":11.843023395069693,"dayLengthDisplay":"11 Hours 50 Mins 35 Secs","nightLengthDisplay":"12 Hours 09 Mins 25 Secs","moonriseLocal":"17:24","moonsetLocal":"05:28","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:03","startHours":13.565965773024455,"endHours":15.046343697408165,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:10","end":"07:39","startHours":6.164076151105896,"endHours":7.644454075489608,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:36","startHours":9.124831999873319,"endHours":10.605209924257032,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:19","startHours":8.927448276622158,"endHours":9.322215723124481,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.6575354592338005,"endHours":6.973349416435659,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:29","startHours":11.690820402138419,"endHours":12.480355295143065,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:22","startHours":4.5850063650966035,"endHours":5.37454125810125,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:10","startHours":5.177157534850089,"endHours":6.164076151105896,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:51","startHours":14.059425081152359,"endHours":14.848959974157005,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.80709954617559,"endHours":18.207099546175588,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:30","startHours":18.00709954617559,"endHours":18.500558854303492,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.75709954617559,"endHours":19.50709954617559,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:29","startHours":23.690820402138417,"endHours":24.480355295143067,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:10","end":"07:39","startHours":6.164076151105896,"endHours":7.644454075489608,"quality":"auspicious"},{"name":"Roga","start":"07:39","end":"09:07","startHours":7.644454075489608,"endHours":9.124831999873319,"quality":"inauspicious"},{"name":"Udveg","start":"09:07","end":"10:36","startHours":9.124831999873319,"endHours":10.605209924257032,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:05","startHours":10.605209924257032,"endHours":12.085587848640742,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:34","startHours":12.085587848640742,"endHours":13.565965773024455,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:03","startHours":13.565965773024455,"endHours":15.046343697408165,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:32","startHours":15.046343697408165,"endHours":16.52672162179188,"quality":"inauspicious"},{"name":"Śubha","start":"16:32","end":"18:00","startHours":16.52672162179188,"endHours":18.00709954617559,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:00","end":"19:32","startHours":18.00709954617559,"endHours":19.52672162179188,"quality":"auspicious"},{"name":"Kāla","start":"19:32","end":"21:03","startHours":19.52672162179188,"endHours":21.046343697408165,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:34","startHours":21.046343697408165,"endHours":22.565965773024452,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"00:05","startHours":22.565965773024452,"endHours":24.085587848640742,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:36","startHours":24.085587848640742,"endHours":25.605209924257032,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:07","startHours":25.605209924257032,"endHours":27.12483199987332,"quality":"neutral"},{"name":"Labha","start":"03:07","end":"04:39","startHours":27.12483199987332,"endHours":28.644454075489605,"quality":"auspicious"},{"name":"Amṛta","start":"04:39","end":"06:10","startHours":28.644454075489605,"endHours":30.164076151105895,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.164076151105896,"endHours":7.164076151105896,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.164076151105896,"endHours":8.164076151105895,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.164076151105895,"endHours":9.164076151105895,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.164076151105895,"endHours":10.164076151105895,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.164076151105895,"endHours":11.164076151105895,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.164076151105895,"endHours":12.164076151105895,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.164076151105895,"endHours":13.164076151105895,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.164076151105895,"endHours":14.164076151105895,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.164076151105895,"endHours":15.164076151105895,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.164076151105895,"endHours":16.164076151105895,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.164076151105895,"endHours":17.164076151105895,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.164076151105895,"endHours":18.164076151105895,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.164076151105895,"endHours":19.164076151105895,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.164076151105895,"endHours":20.164076151105895,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.164076151105895,"endHours":21.164076151105895,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.164076151105895,"endHours":22.164076151105895,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.164076151105895,"endHours":23.164076151105895,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.164076151105895,"endHours":24.164076151105895,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.164076151105895,"endHours":25.164076151105895,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.164076151105895,"endHours":26.164076151105895,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.164076151105895,"endHours":27.164076151105895,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.164076151105895,"endHours":28.164076151105895,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.164076151105895,"endHours":29.164076151105895,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.164076151105895,"endHours":30.164076151105895,"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","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":-3.6918348408897095,"eotMinutes":11.794329081555436,"ayanamsa":25.47}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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 3, 2115 CE · Ṛṣikeśa · Vidhyamitra","description":"October 3, 2115 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 06:10, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2115-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2115-10-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2115-10-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2115-10-03","x-default":"https://vidhyamitra.com/city/rishikesh/2115-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T23:54:44.293Z","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":"2026-05-21T23:54:44.293Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T23:54:44.293Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}