{"id":"vidhyamitra:city-day:rishikesh:2082-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2082-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-10-10","date_display":"October 10, 2082 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":2082,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481777.770833,"kali_year":5184,"ahargana":1893312.2708,"sun":{"sidereal_longitude":171.2366,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":29.3047,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.0681,"elapsed_within_tithi_degrees":2.0681},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.3047,"elapsed_within_degrees":2.638},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.5413},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2082,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481777.770833,"ahargana":1893312.2708,"kali_year":5184,"ayanamsa_lahiri":25.0093,"grahas":{"sun":{"sidereal_longitude":172.17929600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":26.70459599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":4.4896},"mars":{"sidereal_longitude":309.12479600000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":160.93599600000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":5.852296000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":166.44689600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":307.66819599999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":303.2046,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":123.2046,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":2082,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481777.770833,"kali_year":5184,"ahargana":1893312.2708,"sun":{"sidereal_longitude":171.2366,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":29.3047,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.0681,"elapsed_within_tithi_degrees":2.0681},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.3047,"elapsed_within_degrees":2.638},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.5413},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.49,"elongation":141.932},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.49,"opposition_distance":38.068}},"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":11.605215794836841,"dayLengthDisplay":"11 Hours 36 Mins 19 Secs","nightLengthDisplay":"12 Hours 23 Mins 41 Secs","moonriseLocal":"19:34","moonsetLocal":"09:08","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:36","startHours":9.151798616757963,"endHours":10.602450591112568,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"14:57","startHours":13.503754539821777,"endHours":14.954406514176384,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:15","end":"07:42","startHours":6.250494668048753,"endHours":7.7011466424033586,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.958378353510682,"endHours":9.345218880005245,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:03","startHours":6.734045326166955,"endHours":7.043517747362604,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.666262038972611,"endHours":12.439943091961734,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:29","startHours":4.703132562070508,"endHours":5.47681361505963,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:15","startHours":5.283393351812349,"endHours":6.250494668048753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:46","startHours":13.98730519793998,"endHours":14.760986250929102,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.655710462885594,"endHours":18.055710462885592,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:20","startHours":17.855710462885593,"endHours":18.339261121003794,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.605710462885593,"endHours":19.355710462885593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.666262038972608,"endHours":24.439943091961734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:15","end":"07:42","startHours":6.250494668048753,"endHours":7.7011466424033586,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:09","startHours":7.7011466424033586,"endHours":9.151798616757963,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:36","startHours":9.151798616757963,"endHours":10.602450591112568,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:03","startHours":10.602450591112568,"endHours":12.053102565467174,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:30","startHours":12.053102565467174,"endHours":13.503754539821777,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"14:57","startHours":13.503754539821777,"endHours":14.954406514176384,"quality":"auspicious"},{"name":"Amṛta","start":"14:57","end":"16:24","startHours":14.954406514176384,"endHours":16.40505848853099,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:51","startHours":16.40505848853099,"endHours":17.855710462885593,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:51","end":"19:24","startHours":17.855710462885593,"endHours":19.405058488530987,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"20:57","startHours":19.405058488530987,"endHours":20.954406514176384,"quality":"auspicious"},{"name":"Kāla","start":"20:57","end":"22:30","startHours":20.954406514176384,"endHours":22.503754539821777,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"00:03","startHours":22.503754539821777,"endHours":24.05310256546717,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:36","startHours":24.05310256546717,"endHours":25.602450591112568,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:09","startHours":25.602450591112568,"endHours":27.15179861675796,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:42","startHours":27.15179861675796,"endHours":28.70114664240336,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:15","startHours":28.70114664240336,"endHours":30.250494668048752,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.250494668048753,"endHours":7.250494668048753,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.250494668048753,"endHours":8.250494668048752,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.250494668048752,"endHours":9.250494668048752,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.250494668048752,"endHours":10.250494668048752,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.250494668048752,"endHours":11.250494668048752,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.250494668048752,"endHours":12.250494668048752,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.250494668048752,"endHours":13.250494668048752,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.250494668048752,"endHours":14.250494668048752,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.250494668048752,"endHours":15.250494668048752,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.250494668048752,"endHours":16.250494668048752,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.250494668048752,"endHours":17.250494668048752,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.250494668048752,"endHours":18.250494668048752,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.250494668048752,"endHours":19.250494668048752,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.250494668048752,"endHours":20.250494668048752,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.250494668048752,"endHours":21.250494668048752,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.250494668048752,"endHours":22.250494668048752,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.250494668048752,"endHours":23.250494668048752,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.250494668048752,"endHours":24.250494668048752,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.250494668048752,"endHours":25.250494668048752,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.250494668048752,"endHours":26.250494668048752,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.250494668048752,"endHours":27.250494668048752,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.250494668048752,"endHours":28.250494668048752,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.250494668048752,"endHours":29.250494668048752,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.250494668048752,"endHours":30.250494668048752,"planetary_lord":"Mercury"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.749980813643801,"eotMinutes":13.743446071969673,"ayanamsa":25.0093}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Caturthī · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 10, 2082 CE · Ṛṣikeśa · Vidhyamitra","description":"October 10, 2082 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:15, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2082-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2082-10-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2082-10-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2082-10-10","x-default":"https://vidhyamitra.com/city/rishikesh/2082-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:43:48.498Z","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":"2026-05-30T23:43:48.498Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:43:48.498Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}