{"id":"vidhyamitra:city-day:rishikesh:2051-10-27:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-10-27","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-10-27","date_display":"October 27, 2051 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":2051,"month":10,"day":27,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470471.770833,"kali_year":5153,"ahargana":1882006.2708,"sun":{"sidereal_longitude":188.1664,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":101.2403,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.0739,"elapsed_within_tithi_degrees":9.0739},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.2403,"elapsed_within_degrees":7.907},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.4067},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2051,"month":10,"day":27,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470471.770833,"ahargana":1882006.2708,"kali_year":5153,"ayanamsa_lahiri":24.5769,"grahas":{"sun":{"sidereal_longitude":188.996669,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":105.17506900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-4.4446},"mars":{"sidereal_longitude":172.531969,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":210.17536900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":151.032669,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":210.124869,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":288.7757690000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":182.2509,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.2509,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":10,"day":27,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470471.770833,"kali_year":5153,"ahargana":1882006.2708,"sun":{"sidereal_longitude":188.1664,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":101.2403,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.0739,"elapsed_within_tithi_degrees":9.0739},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":101.2403,"elapsed_within_degrees":7.907},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.4067},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.445,"elongation":86.926},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.445,"opposition_distance":93.074}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":-0.109,"opposition_distance":2.829}]},"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":"06:27","sunsetLocal":"17:35","solarNoonLocal":"12:01","dayLengthHours":11.13175791840844,"dayLengthDisplay":"11 Hours 07 Mins 54 Secs","nightLengthDisplay":"12 Hours 52 Mins 06 Secs","moonriseLocal":"23:40","moonsetLocal":"13:11","rahuKala":{"name":"Rāhu Kāla","start":"10:37","end":"12:01","startHours":10.618015199167022,"endHours":12.009484938968079,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:48","end":"16:11","startHours":14.792424418570189,"endHours":16.183894158371242,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:50","end":"09:14","startHours":7.835075719564913,"endHours":9.226545459365969,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:25","startHours":9.041016160725828,"endHours":9.412074758006108,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:12","startHours":6.90742922636421,"endHours":7.204276104188435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.638426341687797,"endHours":12.38054353624836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:42","startHours":4.959371590642733,"endHours":5.701488785203296,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:27","startHours":5.515959486563155,"endHours":6.443605979763858,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:36","startHours":13.864777925369484,"endHours":14.606895119930046,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.3753638981723,"endHours":17.775363898172298,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:02","startHours":17.5753638981723,"endHours":18.03918714477265,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.3253638981723,"endHours":19.0753638981723,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.638426341687797,"endHours":24.38054353624836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:27","end":"07:50","startHours":6.443605979763858,"endHours":7.835075719564913,"quality":"neutral"},{"name":"Labha","start":"07:50","end":"09:14","startHours":7.835075719564913,"endHours":9.226545459365969,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:37","startHours":9.226545459365969,"endHours":10.618015199167022,"quality":"auspicious"},{"name":"Kāla","start":"10:37","end":"12:01","startHours":10.618015199167022,"endHours":12.009484938968079,"quality":"inauspicious"},{"name":"Śubha","start":"12:01","end":"13:24","startHours":12.009484938968079,"endHours":13.400954678769132,"quality":"auspicious"},{"name":"Roga","start":"13:24","end":"14:48","startHours":13.400954678769132,"endHours":14.792424418570189,"quality":"inauspicious"},{"name":"Udveg","start":"14:48","end":"16:11","startHours":14.792424418570189,"endHours":16.183894158371242,"quality":"inauspicious"},{"name":"Chala","start":"16:11","end":"17:35","startHours":16.183894158371242,"endHours":17.5753638981723,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:35","end":"19:11","startHours":17.5753638981723,"endHours":19.183894158371245,"quality":"inauspicious"},{"name":"Udveg","start":"19:11","end":"20:48","startHours":19.183894158371245,"endHours":20.79242441857019,"quality":"inauspicious"},{"name":"Chala","start":"20:48","end":"22:24","startHours":20.79242441857019,"endHours":22.400954678769132,"quality":"neutral"},{"name":"Labha","start":"22:24","end":"00:01","startHours":22.400954678769132,"endHours":24.00948493896808,"quality":"auspicious"},{"name":"Amṛta","start":"00:01","end":"01:37","startHours":24.00948493896808,"endHours":25.618015199167026,"quality":"auspicious"},{"name":"Kāla","start":"01:37","end":"03:14","startHours":25.618015199167026,"endHours":27.22654545936597,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:50","startHours":27.22654545936597,"endHours":28.835075719564912,"quality":"auspicious"},{"name":"Roga","start":"04:50","end":"06:27","startHours":28.835075719564912,"endHours":30.44360597976386,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.443605979763858,"endHours":7.443605979763858,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.443605979763858,"endHours":8.44360597976386,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.44360597976386,"endHours":9.44360597976386,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.44360597976386,"endHours":10.44360597976386,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.44360597976386,"endHours":11.44360597976386,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.44360597976386,"endHours":12.44360597976386,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.44360597976386,"endHours":13.44360597976386,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.44360597976386,"endHours":14.44360597976386,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.44360597976386,"endHours":15.44360597976386,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.44360597976386,"endHours":16.44360597976386,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.44360597976386,"endHours":17.44360597976386,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.44360597976386,"endHours":18.44360597976386,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.44360597976386,"endHours":19.44360597976386,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.44360597976386,"endHours":20.44360597976386,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.44360597976386,"endHours":21.44360597976386,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.44360597976386,"endHours":22.44360597976386,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.44360597976386,"endHours":23.44360597976386,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.44360597976386,"endHours":24.44360597976386,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.44360597976386,"endHours":25.44360597976386,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.44360597976386,"endHours":26.44360597976386,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.44360597976386,"endHours":27.44360597976386,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.44360597976386,"endHours":28.44360597976386,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.44360597976386,"endHours":29.44360597976386,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.44360597976386,"endHours":30.44360597976386,"planetary_lord":"Mars"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-12.706033863089898,"eotMinutes":16.360503661915228,"ayanamsa":24.5769}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 27, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"October 27, 2051 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:27, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-10-27","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-10-27","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-10-27","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-10-27","x-default":"https://vidhyamitra.com/city/rishikesh/2051-10-27"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:26:08.965Z","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":"2026-06-02T20:26:08.965Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:26:08.965Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}