{"id":"vidhyamitra:city-day:rishikesh:2051-05-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2051-05-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-05-10","date_display":"May 10, 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":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470301.770833,"kali_year":5153,"ahargana":1881836.2708,"sun":{"sidereal_longitude":24.6993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":20.3604,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.6611,"elapsed_within_tithi_degrees":7.6611},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.3604,"elapsed_within_degrees":7.027},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.0596},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":5,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470301.770833,"ahargana":1881836.2708,"kali_year":5153,"ayanamsa_lahiri":24.5704,"grahas":{"sun":{"sidereal_longitude":24.803064000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":19.377264000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-0.7112},"mars":{"sidereal_longitude":64.11576400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":0.14946400000002313,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":120.93596400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":0.7828640000000178,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":294.985864,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":191.2583,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.2583,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470301.770833,"kali_year":5153,"ahargana":1881836.2708,"sun":{"sidereal_longitude":24.6993,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":20.3604,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.6611,"elapsed_within_tithi_degrees":7.6611},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.3604,"elapsed_within_degrees":7.027},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.0596},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.711,"elongation":4.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.711,"opposition_distance":175.661}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-0.059,"opposition_distance":0.062}]},"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":"05:27","sunsetLocal":"19:00","solarNoonLocal":"12:13","dayLengthHours":13.546651583965193,"dayLengthDisplay":"13 Hours 32 Mins 48 Secs","nightLengthDisplay":"10 Hours 27 Mins 12 Secs","moonriseLocal":"05:10","moonsetLocal":"18:33","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:55","startHours":12.220882902932441,"endHours":13.914214350928091,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:50","startHours":7.140888558945494,"endHours":8.834220006941143,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:32","end":"12:13","startHours":10.527551454936791,"endHours":12.220882902932441,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.608442480541722,"endHours":9.059997533340564,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:22","startHours":6.012000926948394,"endHours":6.373244969187466,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.769327850133601,"endHours":12.672437955731281,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.6413368997544855,"endHours":4.544447005352165,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:27","startHours":4.318669478952745,"endHours":5.447557110949845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:23","startHours":14.47865816692664,"endHours":15.38176827252432,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.79420869491504,"endHours":19.194208694915037,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":18.994208694915038,"endHours":19.55865251091359,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.744208694915038,"endHours":20.494208694915038,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.769327850133603,"endHours":24.67243795573128,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:27","end":"07:08","startHours":5.447557110949845,"endHours":7.140888558945494,"quality":"auspicious"},{"name":"Amṛta","start":"07:08","end":"08:50","startHours":7.140888558945494,"endHours":8.834220006941143,"quality":"auspicious"},{"name":"Kāla","start":"08:50","end":"10:32","startHours":8.834220006941143,"endHours":10.527551454936791,"quality":"inauspicious"},{"name":"Śubha","start":"10:32","end":"12:13","startHours":10.527551454936791,"endHours":12.220882902932441,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:55","startHours":12.220882902932441,"endHours":13.914214350928091,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:36","startHours":13.914214350928091,"endHours":15.60754579892374,"quality":"inauspicious"},{"name":"Chala","start":"15:36","end":"17:18","startHours":15.60754579892374,"endHours":17.300877246919388,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"19:00","startHours":17.300877246919388,"endHours":18.994208694915038,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:00","end":"20:18","startHours":18.994208694915038,"endHours":20.300877246919388,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:36","startHours":20.300877246919388,"endHours":21.607545798923738,"quality":"neutral"},{"name":"Labha","start":"21:36","end":"22:55","startHours":21.607545798923738,"endHours":22.91421435092809,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:13","startHours":22.91421435092809,"endHours":24.22088290293244,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:32","startHours":24.22088290293244,"endHours":25.52755145493679,"quality":"inauspicious"},{"name":"Śubha","start":"01:32","end":"02:50","startHours":25.52755145493679,"endHours":26.834220006941145,"quality":"auspicious"},{"name":"Roga","start":"02:50","end":"04:08","startHours":26.834220006941145,"endHours":28.140888558945495,"quality":"inauspicious"},{"name":"Udveg","start":"04:08","end":"05:27","startHours":28.140888558945495,"endHours":29.447557110949845,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.447557110949845,"endHours":6.447557110949845,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.447557110949845,"endHours":7.447557110949845,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.447557110949845,"endHours":8.447557110949845,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.447557110949845,"endHours":9.447557110949845,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.447557110949845,"endHours":10.447557110949845,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.447557110949845,"endHours":11.447557110949845,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.447557110949845,"endHours":12.447557110949845,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.447557110949845,"endHours":13.447557110949845,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.447557110949845,"endHours":14.447557110949845,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.447557110949845,"endHours":15.447557110949845,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.447557110949845,"endHours":16.447557110949845,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.447557110949845,"endHours":17.447557110949845,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.447557110949845,"endHours":18.447557110949845,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.447557110949845,"endHours":19.447557110949845,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.447557110949845,"endHours":20.447557110949845,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.447557110949845,"endHours":21.447557110949845,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.447557110949845,"endHours":22.447557110949845,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.447557110949845,"endHours":23.447557110949845,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.447557110949845,"endHours":24.447557110949845,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.447557110949845,"endHours":25.447557110949845,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.447557110949845,"endHours":26.447557110949845,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.447557110949845,"endHours":27.447557110949845,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.447557110949845,"endHours":28.447557110949845,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.447557110949845,"endHours":29.447557110949845,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.569770238389044,"eotMinutes":3.6766258240534686,"ayanamsa":24.5704}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Amāvasyā · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 May 10, 2051 CE · Ṛṣikeśa · Vidhyamitra","description":"May 10, 2051 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 05:27, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2051-05-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2051-05-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2051-05-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2051-05-10","x-default":"https://vidhyamitra.com/city/rishikesh/2051-05-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:46:45.693Z","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":"2026-06-02T14:46:45.693Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:46:45.693Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}