{"id":"vidhyamitra:city-day:rishikesh:2050-07-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-07-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-03","date_display":"July 3, 2050 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":2050,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469990.770833,"kali_year":5152,"ahargana":1881525.2708,"sun":{"sidereal_longitude":76.3294,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":233.0193,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.69,"elapsed_within_tithi_degrees":0.69},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":233.0193,"elapsed_within_degrees":6.3527},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.3487},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2050,"month":7,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469990.770833,"ahargana":1881525.2708,"kali_year":5152,"ayanamsa_lahiri":24.5585,"grahas":{"sun":{"sidereal_longitude":76.794446,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":233.70894599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":1.9203},"mars":{"sidereal_longitude":300.450746,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":90.65754600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":102.41474599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":118.52234599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.074746,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.7366,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.7366,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":7,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469990.770833,"kali_year":5152,"ahargana":1881525.2708,"sun":{"sidereal_longitude":76.3294,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":233.0193,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.69,"elapsed_within_tithi_degrees":0.69},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":233.0193,"elapsed_within_degrees":6.3527},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.3487},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.92,"elongation":156.69},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.92,"opposition_distance":23.31}},"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":"05:20","sunsetLocal":"19:22","solarNoonLocal":"12:21","dayLengthHours":14.037807888164057,"dayLengthDisplay":"14 Hours 02 Mins 16 Secs","nightLengthDisplay":"9 Hours 57 Mins 44 Secs","moonriseLocal":"17:42","moonsetLocal":"03:55","rahuKala":{"name":"Rāhu Kāla","start":"17:37","end":"19:22","startHours":17.610362136193753,"endHours":19.36508812221426,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:21","end":"14:06","startHours":12.34618417813223,"endHours":14.100910164152737,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:51","end":"17:37","startHours":15.855636150173247,"endHours":17.610362136193753,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:04","startHours":8.602768741288482,"endHours":9.07069567089395,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.912188896057038,"endHours":6.286530439741413,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:49","startHours":11.878257248526763,"endHours":12.8141111077377,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:23","startHours":3.455572515628328,"endHours":4.3914263748392655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:09","end":"05:20","startHours":4.157462910036531,"endHours":5.327280234050202,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.685818826159572,"endHours":15.621672685370509,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.16508812221426,"endHours":19.56508812221426,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.36508812221426,"endHours":19.949996784221096,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.11508812221426,"endHours":20.86508812221426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:49","startHours":23.878257248526765,"endHours":24.814111107737702,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:20","end":"07:05","startHours":5.327280234050202,"endHours":7.08200622007071,"quality":"inauspicious"},{"name":"Chala","start":"07:05","end":"08:50","startHours":7.08200622007071,"endHours":8.836732206091217,"quality":"neutral"},{"name":"Labha","start":"08:50","end":"10:35","startHours":8.836732206091217,"endHours":10.591458192111723,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:21","startHours":10.591458192111723,"endHours":12.34618417813223,"quality":"auspicious"},{"name":"Kāla","start":"12:21","end":"14:06","startHours":12.34618417813223,"endHours":14.100910164152737,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:51","startHours":14.100910164152737,"endHours":15.855636150173247,"quality":"auspicious"},{"name":"Roga","start":"15:51","end":"17:37","startHours":15.855636150173247,"endHours":17.610362136193753,"quality":"inauspicious"},{"name":"Udveg","start":"17:37","end":"19:22","startHours":17.610362136193753,"endHours":19.36508812221426,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:22","end":"20:37","startHours":19.36508812221426,"endHours":20.610362136193753,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"21:51","startHours":20.610362136193753,"endHours":21.855636150173247,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:06","startHours":21.855636150173247,"endHours":23.10091016415274,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:21","startHours":23.10091016415274,"endHours":24.346184178132233,"quality":"neutral"},{"name":"Labha","start":"00:21","end":"01:35","startHours":24.346184178132233,"endHours":25.591458192111723,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"02:50","startHours":25.591458192111723,"endHours":26.836732206091217,"quality":"auspicious"},{"name":"Kāla","start":"02:50","end":"04:05","startHours":26.836732206091217,"endHours":28.08200622007071,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:20","startHours":28.08200622007071,"endHours":29.327280234050203,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.327280234050202,"endHours":6.327280234050202,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.327280234050202,"endHours":7.327280234050202,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.327280234050202,"endHours":8.327280234050203,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.327280234050203,"endHours":9.327280234050203,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.327280234050203,"endHours":10.327280234050203,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.327280234050203,"endHours":11.327280234050203,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.327280234050203,"endHours":12.327280234050203,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.327280234050203,"endHours":13.327280234050203,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.327280234050203,"endHours":14.327280234050203,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.327280234050203,"endHours":15.327280234050203,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.327280234050203,"endHours":16.327280234050203,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.327280234050203,"endHours":17.327280234050203,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.327280234050203,"endHours":18.327280234050203,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.327280234050203,"endHours":19.327280234050203,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.327280234050203,"endHours":20.327280234050203,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.327280234050203,"endHours":21.327280234050203,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.327280234050203,"endHours":22.327280234050203,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.327280234050203,"endHours":23.327280234050203,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.327280234050203,"endHours":24.327280234050203,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.327280234050203,"endHours":25.327280234050203,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.327280234050203,"endHours":26.327280234050203,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.327280234050203,"endHours":27.327280234050203,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.327280234050203,"endHours":28.327280234050203,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.327280234050203,"endHours":29.327280234050203,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.95139436106151,"eotMinutes":-3.8414506879338766,"ayanamsa":24.5585}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","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 July 3, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"July 3, 2050 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:20, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-07-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-07-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-07-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-07-03","x-default":"https://vidhyamitra.com/city/rishikesh/2050-07-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T12:34:02.907Z","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":"2026-05-17T12:34:02.907Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T12:34:02.907Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}