{"id":"vidhyamitra:city-day:rishikesh:2050-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-14","date_display":"July 14, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470001.770833,"kali_year":5152,"ahargana":1881536.2708,"sun":{"sidereal_longitude":86.7422,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":28.5965,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.8543,"elapsed_within_tithi_degrees":1.8543},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.5965,"elapsed_within_degrees":1.9298},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.3387},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470001.770833,"ahargana":1881536.2708,"kali_year":5152,"ayanamsa_lahiri":24.5589,"grahas":{"sun":{"sidereal_longitude":87.28222600000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":30.333225999999968,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-0.1132},"mars":{"sidereal_longitude":301.367526,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":109.45752600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":104.73722599999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":130.590526,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":281.34102600000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.1538,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.1538,"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470001.770833,"kali_year":5152,"ahargana":1881536.2708,"sun":{"sidereal_longitude":86.7422,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":28.5965,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.8543,"elapsed_within_tithi_degrees":1.8543},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.5965,"elapsed_within_degrees":1.9298},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.3387},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.113,"elongation":58.146},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.113,"opposition_distance":121.854}},"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":"05:25","sunsetLocal":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.91639567860598,"dayLengthDisplay":"13 Hours 54 Mins 59 Secs","nightLengthDisplay":"10 Hours 05 Mins 01 Secs","moonriseLocal":"01:46","moonsetLocal":"15:24","rahuKala":{"name":"Rāhu Kāla","start":"14:07","end":"15:51","startHours":14.112983234599739,"endHours":15.852532694425488,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:25","end":"07:09","startHours":5.415235935471002,"endHours":7.1547853952967495,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:54","end":"10:38","startHours":8.894334855122498,"endHours":10.633884314948244,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:08","startHours":8.66239492714573,"endHours":9.126274783099262,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:00","end":"06:22","startHours":5.9950857554129175,"endHours":6.366189640175744,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:50","startHours":11.90955391882046,"endHours":12.837313630727525,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.5597165116568714,"endHours":4.487476223563936,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:25","startHours":4.25553629558717,"endHours":5.415235935471002,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.692833054541655,"endHours":15.62059276644872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.131631614076984,"endHours":19.531631614076982,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.331631614076983,"endHours":19.9114814340189,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.081631614076983,"endHours":20.831631614076983,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:50","startHours":23.90955391882046,"endHours":24.837313630727525,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:25","end":"07:09","startHours":5.415235935471002,"endHours":7.1547853952967495,"quality":"auspicious"},{"name":"Roga","start":"07:09","end":"08:54","startHours":7.1547853952967495,"endHours":8.894334855122498,"quality":"inauspicious"},{"name":"Udveg","start":"08:54","end":"10:38","startHours":8.894334855122498,"endHours":10.633884314948244,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:22","startHours":10.633884314948244,"endHours":12.373433774773993,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"14:07","startHours":12.373433774773993,"endHours":14.112983234599739,"quality":"auspicious"},{"name":"Amṛta","start":"14:07","end":"15:51","startHours":14.112983234599739,"endHours":15.852532694425488,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:36","startHours":15.852532694425488,"endHours":17.592082154251234,"quality":"inauspicious"},{"name":"Śubha","start":"17:36","end":"19:20","startHours":17.592082154251234,"endHours":19.331631614076983,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:20","end":"20:36","startHours":19.331631614076983,"endHours":20.592082154251237,"quality":"auspicious"},{"name":"Kāla","start":"20:36","end":"21:51","startHours":20.592082154251237,"endHours":21.852532694425488,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:07","startHours":21.852532694425488,"endHours":23.11298323459974,"quality":"auspicious"},{"name":"Roga","start":"23:07","end":"00:22","startHours":23.11298323459974,"endHours":24.373433774773993,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:38","startHours":24.373433774773993,"endHours":25.633884314948247,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"02:54","startHours":25.633884314948247,"endHours":26.894334855122498,"quality":"neutral"},{"name":"Labha","start":"02:54","end":"04:09","startHours":26.894334855122498,"endHours":28.15478539529675,"quality":"auspicious"},{"name":"Amṛta","start":"04:09","end":"05:25","startHours":28.15478539529675,"endHours":29.415235935471003,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.415235935471002,"endHours":6.415235935471002,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.415235935471002,"endHours":7.415235935471002,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.415235935471002,"endHours":8.415235935471003,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.415235935471003,"endHours":9.415235935471003,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.415235935471003,"endHours":10.415235935471003,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.415235935471003,"endHours":11.415235935471003,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.415235935471003,"endHours":12.415235935471003,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.415235935471003,"endHours":13.415235935471003,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.415235935471003,"endHours":14.415235935471003,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.415235935471003,"endHours":15.415235935471003,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.415235935471003,"endHours":16.415235935471003,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.415235935471003,"endHours":17.415235935471003,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.415235935471003,"endHours":18.415235935471003,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.415235935471003,"endHours":19.415235935471003,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.415235935471003,"endHours":20.415235935471003,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.415235935471003,"endHours":21.415235935471003,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.415235935471003,"endHours":22.415235935471003,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.415235935471003,"endHours":23.415235935471003,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.415235935471003,"endHours":24.415235935471003,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.415235935471003,"endHours":25.415235935471003,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.415235935471003,"endHours":26.415235935471003,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.415235935471003,"endHours":27.415235935471003,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.415235935471003,"endHours":28.415235935471003,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.415235935471003,"endHours":29.415235935471003,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.665229594063618,"eotMinutes":-5.476426486439539,"ayanamsa":24.5589}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ekādaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"aja-ekadashi","name":"Ajā Ekādaśī","name_sanskrit":"अजा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"King Hariścandra observed this; restored him to throne and family.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Ajā Ekādaśī · Ekādaśī is not live yet; Guruvāra (Thursday) — 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 July 14, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"July 14, 2050 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 05:25, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-07-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-07-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-07-14","x-default":"https://vidhyamitra.com/city/rishikesh/2050-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-09T14:14:11.171Z","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":"2026-08-09T14:14:11.171Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-09T14:14:11.171Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}