{"id":"vidhyamitra:city-day:rishikesh:2064-10-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2064-10-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-10-14","date_display":"October 14, 2064 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":2064,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475207.770833,"kali_year":5166,"ahargana":1886742.2708,"sun":{"sidereal_longitude":175.8489,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":223.744,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.8951,"elapsed_within_tithi_degrees":11.8951},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.744,"elapsed_within_degrees":10.4107},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.5929},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2064,"month":10,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475207.770833,"ahargana":1886742.2708,"kali_year":5166,"ayanamsa_lahiri":24.758,"grahas":{"sun":{"sidereal_longitude":176.742119,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":227.166019,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-4.159},"mars":{"sidereal_longitude":147.33981899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":191.09601900000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":175.84111899999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":212.65601900000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":106.93161900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":291.3149,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.3149,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2064,"month":10,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475207.770833,"kali_year":5166,"ahargana":1886742.2708,"sun":{"sidereal_longitude":175.8489,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":223.744,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.8951,"elapsed_within_tithi_degrees":11.8951},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":223.744,"elapsed_within_degrees":10.4107},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":39.5929},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.159,"elongation":47.895},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.159,"opposition_distance":132.105}},"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":"06:18","sunsetLocal":"17:47","solarNoonLocal":"12:02","dayLengthHours":11.477175973459211,"dayLengthDisplay":"11 Hours 28 Mins 38 Secs","nightLengthDisplay":"12 Hours 31 Mins 22 Secs","moonriseLocal":"10:16","moonsetLocal":"20:32","rahuKala":{"name":"Rāhu Kāla","start":"14:54","end":"16:21","startHours":14.907204402949027,"endHours":16.34185139963143,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:36","startHours":9.168616416219422,"endHours":10.603263412901825,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:02","end":"13:28","startHours":12.037910409584224,"endHours":13.472557406266628,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.977330149995103,"endHours":9.359902682443742,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.777538088415421,"endHours":7.083596114374333,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.655337877135585,"endHours":12.420482942032864,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.769032293060058,"endHours":5.534177357957339,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.342891091733019,"endHours":6.29932242285462,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.950773071827427,"endHours":14.715918136724708,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.57649839631383,"endHours":17.97649839631383,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:15","startHours":17.77649839631383,"endHours":18.25471406187463,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.52649839631383,"endHours":19.27649839631383,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.655337877135583,"endHours":24.420482942032866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:18","end":"07:44","startHours":6.29932242285462,"endHours":7.733969419537021,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:10","startHours":7.733969419537021,"endHours":9.168616416219422,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:36","startHours":9.168616416219422,"endHours":10.603263412901825,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:02","startHours":10.603263412901825,"endHours":12.037910409584224,"quality":"auspicious"},{"name":"Amṛta","start":"12:02","end":"13:28","startHours":12.037910409584224,"endHours":13.472557406266628,"quality":"auspicious"},{"name":"Kāla","start":"13:28","end":"14:54","startHours":13.472557406266628,"endHours":14.907204402949027,"quality":"inauspicious"},{"name":"Śubha","start":"14:54","end":"16:21","startHours":14.907204402949027,"endHours":16.34185139963143,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:47","startHours":16.34185139963143,"endHours":17.77649839631383,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:47","end":"19:21","startHours":17.77649839631383,"endHours":19.34185139963143,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"20:54","startHours":19.34185139963143,"endHours":20.907204402949027,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"22:28","startHours":20.907204402949027,"endHours":22.472557406266624,"quality":"inauspicious"},{"name":"Udveg","start":"22:28","end":"00:02","startHours":22.472557406266624,"endHours":24.037910409584224,"quality":"inauspicious"},{"name":"Chala","start":"00:02","end":"01:36","startHours":24.037910409584224,"endHours":25.603263412901825,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:10","startHours":25.603263412901825,"endHours":27.16861641621942,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:44","startHours":27.16861641621942,"endHours":28.73396941953702,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:18","startHours":28.73396941953702,"endHours":30.29932242285462,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.29932242285462,"endHours":7.29932242285462,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.29932242285462,"endHours":8.299322422854619,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.299322422854619,"endHours":9.299322422854619,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.299322422854619,"endHours":10.299322422854619,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.299322422854619,"endHours":11.299322422854619,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.299322422854619,"endHours":12.299322422854619,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.299322422854619,"endHours":13.299322422854619,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.299322422854619,"endHours":14.299322422854619,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.299322422854619,"endHours":15.299322422854619,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.299322422854619,"endHours":16.29932242285462,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.29932242285462,"endHours":17.29932242285462,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.29932242285462,"endHours":18.29932242285462,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.29932242285462,"endHours":19.29932242285462,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.29932242285462,"endHours":20.29932242285462,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.29932242285462,"endHours":21.29932242285462,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.29932242285462,"endHours":22.29932242285462,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.29932242285462,"endHours":23.29932242285462,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.29932242285462,"endHours":24.29932242285462,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.29932242285462,"endHours":25.29932242285462,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.29932242285462,"endHours":26.29932242285462,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.29932242285462,"endHours":27.29932242285462,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.29932242285462,"endHours":28.29932242285462,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.29932242285462,"endHours":29.29932242285462,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.29932242285462,"endHours":30.29932242285462,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","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":-8.381882504620657,"eotMinutes":14.654975424946487,"ayanamsa":24.758}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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 Caturthī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 14, 2064 CE · Ṛṣikeśa · Vidhyamitra","description":"October 14, 2064 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:18, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2064-10-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2064-10-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2064-10-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2064-10-14","x-default":"https://vidhyamitra.com/city/rishikesh/2064-10-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:25:34.556Z","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":"2026-05-31T20:25:34.556Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:25:34.556Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}