{"id":"vidhyamitra:city-day:rishikesh:2103-10-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2103-10-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-10-11","date_display":"October 11, 2103 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":2103,"month":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489447.770833,"kali_year":5205,"ahargana":1900982.2708,"sun":{"sidereal_longitude":170.8077,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":289.1,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.2923,"elapsed_within_tithi_degrees":10.2923},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1,"elapsed_within_degrees":9.1},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.9077},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2103,"month":10,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489447.770833,"ahargana":1900982.2708,"kali_year":5205,"ayanamsa_lahiri":25.3026,"grahas":{"sun":{"sidereal_longitude":171.80204600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":286.870146,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":2.4021},"mars":{"sidereal_longitude":84.14454599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":177.35344599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":262.508646,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":124.48434600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":212.85264600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":256.8111,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":76.8111,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"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":2103,"month":10,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489447.770833,"kali_year":5205,"ahargana":1900982.2708,"sun":{"sidereal_longitude":170.8077,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":289.1,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.2923,"elapsed_within_tithi_degrees":10.2923},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.1,"elapsed_within_degrees":9.1},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.9077},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.402,"elongation":118.292},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.402,"opposition_distance":61.708}},"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":"06:15","sunsetLocal":"17:51","solarNoonLocal":"12:03","dayLengthHours":11.607726993080147,"dayLengthDisplay":"11 Hours 36 Mins 28 Secs","nightLengthDisplay":"12 Hours 23 Mins 32 Secs","moonriseLocal":"14:22","moonsetLocal":"01:05","rahuKala":{"name":"Rāhu Kāla","start":"13:30","end":"14:57","startHours":13.500019640864519,"endHours":14.950985514999537,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:15","end":"07:42","startHours":6.245190270189427,"endHours":7.696156144324446,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:36","startHours":9.147122018459465,"endHours":10.598087892594481,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:20","startHours":8.953659901908129,"endHours":9.3405841350108,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:02","startHours":6.728845561567767,"endHours":7.038384948049904,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.662129533626828,"endHours":12.435977999832172,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:28","startHours":4.697493337778741,"endHours":5.471341803984084,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:15","startHours":5.2778796874327485,"endHours":6.245190270189427,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.98367493224286,"endHours":14.757523398448203,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.652917263269575,"endHours":18.052917263269574,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:20","startHours":17.852917263269575,"endHours":18.336572554647915,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.602917263269575,"endHours":19.352917263269575,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.66212953362683,"endHours":24.435977999832172,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:15","end":"07:42","startHours":6.245190270189427,"endHours":7.696156144324446,"quality":"auspicious"},{"name":"Roga","start":"07:42","end":"09:09","startHours":7.696156144324446,"endHours":9.147122018459465,"quality":"inauspicious"},{"name":"Udveg","start":"09:09","end":"10:36","startHours":9.147122018459465,"endHours":10.598087892594481,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:03","startHours":10.598087892594481,"endHours":12.0490537667295,"quality":"neutral"},{"name":"Labha","start":"12:03","end":"13:30","startHours":12.0490537667295,"endHours":13.500019640864519,"quality":"auspicious"},{"name":"Amṛta","start":"13:30","end":"14:57","startHours":13.500019640864519,"endHours":14.950985514999537,"quality":"auspicious"},{"name":"Kāla","start":"14:57","end":"16:24","startHours":14.950985514999537,"endHours":16.401951389134556,"quality":"inauspicious"},{"name":"Śubha","start":"16:24","end":"17:51","startHours":16.401951389134556,"endHours":17.852917263269575,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:51","end":"19:24","startHours":17.852917263269575,"endHours":19.401951389134556,"quality":"auspicious"},{"name":"Kāla","start":"19:24","end":"20:57","startHours":19.401951389134556,"endHours":20.950985514999537,"quality":"inauspicious"},{"name":"Śubha","start":"20:57","end":"22:30","startHours":20.950985514999537,"endHours":22.50001964086452,"quality":"auspicious"},{"name":"Roga","start":"22:30","end":"00:03","startHours":22.50001964086452,"endHours":24.0490537667295,"quality":"inauspicious"},{"name":"Udveg","start":"00:03","end":"01:36","startHours":24.0490537667295,"endHours":25.59808789259448,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:09","startHours":25.59808789259448,"endHours":27.147122018459463,"quality":"neutral"},{"name":"Labha","start":"03:09","end":"04:42","startHours":27.147122018459463,"endHours":28.696156144324448,"quality":"auspicious"},{"name":"Amṛta","start":"04:42","end":"06:15","startHours":28.696156144324448,"endHours":30.245190270189426,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.245190270189427,"endHours":7.245190270189427,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.245190270189427,"endHours":8.245190270189427,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.245190270189427,"endHours":9.245190270189427,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.245190270189427,"endHours":10.245190270189427,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.245190270189427,"endHours":11.245190270189427,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.245190270189427,"endHours":12.245190270189427,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.245190270189427,"endHours":13.245190270189427,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.245190270189427,"endHours":14.245190270189427,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.245190270189427,"endHours":15.245190270189427,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.245190270189427,"endHours":16.245190270189426,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.245190270189426,"endHours":17.245190270189426,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.245190270189426,"endHours":18.245190270189426,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.245190270189426,"endHours":19.245190270189426,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.245190270189426,"endHours":20.245190270189426,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.245190270189426,"endHours":21.245190270189426,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.245190270189426,"endHours":22.245190270189426,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.245190270189426,"endHours":23.245190270189426,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.245190270189426,"endHours":24.245190270189426,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.245190270189426,"endHours":25.245190270189426,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.245190270189426,"endHours":26.245190270189426,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.245190270189426,"endHours":27.245190270189426,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.245190270189426,"endHours":28.245190270189426,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.245190270189426,"endHours":29.245190270189426,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.245190270189426,"endHours":30.245190270189426,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-6.717853598104503,"eotMinutes":13.986373996230075,"ayanamsa":25.3026}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"related_chart":"rama","sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]},{"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":[]},"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 11, 2103 CE · Ṛṣikeśa · Vidhyamitra","description":"October 11, 2103 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 06:15, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2103-10-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2103-10-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2103-10-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2103-10-11","x-default":"https://vidhyamitra.com/city/rishikesh/2103-10-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T03:18:31.005Z","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":"2026-05-21T03:18:31.005Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T03:18:31.005Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}