{"id":"vidhyamitra:city-day:rishikesh:2052-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2052-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-10-03","date_display":"October 3, 2052 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":2052,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470813.770833,"kali_year":5154,"ahargana":1882348.2708,"sun":{"sidereal_longitude":165.0839,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":279.0451,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.9612,"elapsed_within_tithi_degrees":5.9612},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.0451,"elapsed_within_degrees":12.3784},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.129},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2052,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470813.770833,"ahargana":1882348.2708,"kali_year":5154,"ayanamsa_lahiri":24.59,"grahas":{"sun":{"sidereal_longitude":165.95750199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":278.06670199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.0805},"mars":{"sidereal_longitude":17.18970200000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":186.53790200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":169.87470200000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":126.99030200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":301.1462019999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":164.1301,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":344.1301,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2052,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470813.770833,"kali_year":5154,"ahargana":1882348.2708,"sun":{"sidereal_longitude":165.0839,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":279.0451,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.9612,"elapsed_within_tithi_degrees":5.9612},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":279.0451,"elapsed_within_degrees":12.3784},"yoga":{"number":7,"name":"Sukarma","sum_longitude":84.129},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.08,"elongation":113.961},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.08,"opposition_distance":66.039}},"eclipse_window_40days":[{"offset_days":-10,"type":"solar","occurs":true,"moon_latitude":-0.537,"elongation":2.53}]},"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":"06:11","sunsetLocal":"17:59","solarNoonLocal":"12:05","dayLengthHours":11.805577313059743,"dayLengthDisplay":"11 Hours 48 Mins 20 Secs","nightLengthDisplay":"12 Hours 11 Mins 40 Secs","moonriseLocal":"14:18","moonsetLocal":"00:49","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"15:02","startHours":13.561285012773212,"endHours":15.036982176905678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:11","end":"07:40","startHours":6.182799192110871,"endHours":7.658496356243339,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:37","startHours":9.134193520375806,"endHours":10.609890684508276,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:20","startHours":8.937433898491477,"endHours":9.330953142260135,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"06:59","startHours":6.674698246821694,"endHours":6.989513641836621,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.692068604872084,"endHours":12.4791070924094,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:24","startHours":4.608722217036239,"endHours":5.395760704573555,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:11","startHours":5.199001082689226,"endHours":6.182799192110871,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:50","startHours":14.053184067484032,"endHours":14.840222555021349,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.788376505170614,"endHours":18.188376505170613,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:29","startHours":17.988376505170613,"endHours":18.480275559881434,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.738376505170613,"endHours":19.488376505170613,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.692068604872084,"endHours":24.4791070924094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:11","end":"07:40","startHours":6.182799192110871,"endHours":7.658496356243339,"quality":"auspicious"},{"name":"Roga","start":"07:40","end":"09:08","startHours":7.658496356243339,"endHours":9.134193520375806,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:37","startHours":9.134193520375806,"endHours":10.609890684508276,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:05","startHours":10.609890684508276,"endHours":12.085587848640742,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:34","startHours":12.085587848640742,"endHours":13.561285012773212,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"15:02","startHours":13.561285012773212,"endHours":15.036982176905678,"quality":"auspicious"},{"name":"Kāla","start":"15:02","end":"16:31","startHours":15.036982176905678,"endHours":16.512679341038147,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"17:59","startHours":16.512679341038147,"endHours":17.988376505170613,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:31","startHours":17.988376505170613,"endHours":19.512679341038144,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"21:02","startHours":19.512679341038144,"endHours":21.036982176905678,"quality":"inauspicious"},{"name":"Śubha","start":"21:02","end":"22:34","startHours":21.036982176905678,"endHours":22.56128501277321,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"00:05","startHours":22.56128501277321,"endHours":24.085587848640742,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:37","startHours":24.085587848640742,"endHours":25.609890684508272,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:08","startHours":25.609890684508272,"endHours":27.134193520375806,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:40","startHours":27.134193520375806,"endHours":28.65849635624334,"quality":"auspicious"},{"name":"Amṛta","start":"04:40","end":"06:11","startHours":28.65849635624334,"endHours":30.18279919211087,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.182799192110871,"endHours":7.182799192110871,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.182799192110871,"endHours":8.18279919211087,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.18279919211087,"endHours":9.18279919211087,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.18279919211087,"endHours":10.18279919211087,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.18279919211087,"endHours":11.18279919211087,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.18279919211087,"endHours":12.18279919211087,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.18279919211087,"endHours":13.18279919211087,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.18279919211087,"endHours":14.18279919211087,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.18279919211087,"endHours":15.18279919211087,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.18279919211087,"endHours":16.18279919211087,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.18279919211087,"endHours":17.18279919211087,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.18279919211087,"endHours":18.18279919211087,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.18279919211087,"endHours":19.18279919211087,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.18279919211087,"endHours":20.18279919211087,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.18279919211087,"endHours":21.18279919211087,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.18279919211087,"endHours":22.18279919211087,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.18279919211087,"endHours":23.18279919211087,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.18279919211087,"endHours":24.18279919211087,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.18279919211087,"endHours":25.18279919211087,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.18279919211087,"endHours":26.18279919211087,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.18279919211087,"endHours":27.18279919211087,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.18279919211087,"endHours":28.18279919211087,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.18279919211087,"endHours":29.18279919211087,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.18279919211087,"endHours":30.18279919211087,"planetary_lord":"Moon"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.175123767928648,"eotMinutes":11.794329081555436,"ayanamsa":24.59}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"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 Daśamī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"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"]}],"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 3, 2052 CE · Ṛṣikeśa · Vidhyamitra","description":"October 3, 2052 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 06:11, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2052-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2052-10-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2052-10-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2052-10-03","x-default":"https://vidhyamitra.com/city/rishikesh/2052-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:22:22.368Z","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":"2026-05-31T00:22:22.368Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:22:22.368Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}