{"id":"vidhyamitra:city-day:rishikesh:2057-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2057-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2057-07-04","date_display":"July 4, 2057 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":2057,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472548.770833,"kali_year":5159,"ahargana":1884083.2708,"sun":{"sidereal_longitude":77.4544,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":102.3528,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.8983,"elapsed_within_tithi_degrees":0.8983},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3528,"elapsed_within_degrees":9.0194},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.8072},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2057,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2472548.770833,"ahargana":1884083.2708,"kali_year":5159,"ayanamsa_lahiri":24.6563,"grahas":{"sun":{"sidereal_longitude":77.944612,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":100.48661199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":2.2585},"mars":{"sidereal_longitude":137.43531199999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":98.25741199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":322.05361199999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":35.552111999999966,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":9.162711999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":72.2015,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":252.2015,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2057,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2472548.770833,"kali_year":5159,"ahargana":1884083.2708,"sun":{"sidereal_longitude":77.4544,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":102.3528,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.8983,"elapsed_within_tithi_degrees":0.8983},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3528,"elapsed_within_degrees":9.0194},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.8072},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.259,"elongation":24.898},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.259,"opposition_distance":155.102}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":0.985,"opposition_distance":0.914},{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":0.37,"elongation":1.469}]},"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":14.027139913509426,"dayLengthDisplay":"14 Hours 01 Mins 38 Secs","nightLengthDisplay":"9 Hours 58 Mins 22 Secs","moonriseLocal":"07:02","moonsetLocal":"20:40","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"14:06","startHours":12.349148554276036,"endHours":14.102541043464715,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:51","startHours":7.088971086710002,"endHours":8.84236357589868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:21","startHours":10.595756065087357,"endHours":12.349148554276036,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.608577910673523,"endHours":9.076149241123836,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:18","startHours":5.920042760584216,"endHours":6.2940998249444675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:49","startHours":11.881577223825722,"endHours":12.81671988472635,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:24","startHours":3.4652932757200663,"endHours":4.400435936620695,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:20","startHours":4.166650271395538,"endHours":5.335578597521323,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.687005206527608,"endHours":15.622147867428238,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.16271851103075,"endHours":19.56271851103075,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.36271851103075,"endHours":19.947182674093643,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.11271851103075,"endHours":20.86271851103075,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:49","startHours":23.88157722382572,"endHours":24.81671988472635,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:05","startHours":5.335578597521323,"endHours":7.088971086710002,"quality":"auspicious"},{"name":"Amṛta","start":"07:05","end":"08:51","startHours":7.088971086710002,"endHours":8.84236357589868,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:36","startHours":8.84236357589868,"endHours":10.595756065087357,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:21","startHours":10.595756065087357,"endHours":12.349148554276036,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"14:06","startHours":12.349148554276036,"endHours":14.102541043464715,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:51","startHours":14.102541043464715,"endHours":15.855933532653392,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:37","startHours":15.855933532653392,"endHours":17.609326021842072,"quality":"neutral"},{"name":"Labha","start":"17:37","end":"19:22","startHours":17.609326021842072,"endHours":19.36271851103075,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:22","end":"20:37","startHours":19.36271851103075,"endHours":20.609326021842072,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"21:51","startHours":20.609326021842072,"endHours":21.855933532653392,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:06","startHours":21.855933532653392,"endHours":23.102541043464715,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:21","startHours":23.102541043464715,"endHours":24.349148554276034,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:36","startHours":24.349148554276034,"endHours":25.595756065087357,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:51","startHours":25.595756065087357,"endHours":26.84236357589868,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:05","startHours":26.84236357589868,"endHours":28.088971086710004,"quality":"inauspicious"},{"name":"Udveg","start":"04:05","end":"05:20","startHours":28.088971086710004,"endHours":29.335578597521323,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.335578597521323,"endHours":6.335578597521323,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.335578597521323,"endHours":7.335578597521323,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.335578597521323,"endHours":8.335578597521323,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.335578597521323,"endHours":9.335578597521323,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.335578597521323,"endHours":10.335578597521323,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.335578597521323,"endHours":11.335578597521323,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.335578597521323,"endHours":12.335578597521323,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.335578597521323,"endHours":13.335578597521323,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.335578597521323,"endHours":14.335578597521323,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.335578597521323,"endHours":15.335578597521323,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.335578597521323,"endHours":16.335578597521323,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.335578597521323,"endHours":17.335578597521323,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.335578597521323,"endHours":18.335578597521323,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.335578597521323,"endHours":19.335578597521323,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.335578597521323,"endHours":20.335578597521323,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.335578597521323,"endHours":21.335578597521323,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.335578597521323,"endHours":22.335578597521323,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.335578597521323,"endHours":23.335578597521323,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.335578597521323,"endHours":24.335578597521323,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.335578597521323,"endHours":25.335578597521323,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.335578597521323,"endHours":26.335578597521323,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.335578597521323,"endHours":27.335578597521323,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.335578597521323,"endHours":28.335578597521323,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.335578597521323,"endHours":29.335578597521323,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"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":22.83958474454424,"eotMinutes":-4.019313256562166,"ayanamsa":24.6563}},"calendars":{"vikram_samvat":2114,"vikram_samvatsara":"Vikṛti","saka_samvat":1979,"saka_samvatsara":"Īśvara","bengali_samvat":1464,"malayalam_era":1233,"nanakshahi_year":588,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Tṛtīyā · Vikram 2114 Vikṛti · Śaka 1979 Īśvara"},"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":"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":[]},"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 4, 2057 CE · Ṛṣikeśa · Vidhyamitra","description":"July 4, 2057 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 05:20, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2057-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2057-07-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2057-07-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2057-07-04","x-default":"https://vidhyamitra.com/city/rishikesh/2057-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T17:11:19.387Z","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":"2026-05-21T17:11:19.387Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T17:11:19.387Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}