{"id":"vidhyamitra:city-day:rishikesh:2085-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2085-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-07-04","date_display":"July 4, 2085 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":2085,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482775.770833,"kali_year":5187,"ahargana":1894310.2708,"sun":{"sidereal_longitude":77.2224,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":213.1249,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9026,"elapsed_within_tithi_degrees":3.9026},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.1249,"elapsed_within_degrees":13.1249},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3473},"karana":{"half_tithi_index":22,"name":"Bava"},"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":2085,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482775.770833,"ahargana":1894310.2708,"kali_year":5187,"ayanamsa_lahiri":25.0475,"grahas":{"sun":{"sidereal_longitude":77.77806499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":212.573665,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":-2.719},"mars":{"sidereal_longitude":113.75306499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":94.31206500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":87.83166499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":107.04466500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":350.902165,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":250.3258,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.3258,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":2085,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482775.770833,"kali_year":5187,"ahargana":1894310.2708,"sun":{"sidereal_longitude":77.2224,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":213.1249,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":135.9026,"elapsed_within_tithi_degrees":3.9026},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.1249,"elapsed_within_degrees":13.1249},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3473},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.719,"elongation":135.903},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.719,"opposition_distance":44.097}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":0.354,"elongation":0.579}]},"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":14.025106815893633,"dayLengthDisplay":"14 Hours 01 Mins 30 Secs","nightLengthDisplay":"9 Hours 58 Mins 30 Secs","moonriseLocal":"16:05","moonsetLocal":"02:35","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"14:06","startHours":12.349148554276034,"endHours":14.10228690626274,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:51","startHours":7.089733498315923,"endHours":8.842871850302627,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:21","startHours":10.596010202289332,"endHours":12.349148554276034,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.609120070037733,"endHours":9.076623630567521,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:18","startHours":5.920974596991454,"endHours":6.2949774454152845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:49","startHours":11.881644993746248,"endHours":12.816652114805825,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:24","startHours":3.466580904210068,"endHours":4.4015880252696435,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:20","startHours":4.167836245004749,"endHours":5.336595146329219,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.686666356924974,"endHours":15.62167347798455,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.161701962222853,"endHours":19.561701962222852,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.361701962222853,"endHours":19.946081412885086,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.111701962222853,"endHours":20.861701962222853,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:49","startHours":23.881644993746246,"endHours":24.816652114805823,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:05","startHours":5.336595146329219,"endHours":7.089733498315923,"quality":"auspicious"},{"name":"Amṛta","start":"07:05","end":"08:51","startHours":7.089733498315923,"endHours":8.842871850302627,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:36","startHours":8.842871850302627,"endHours":10.596010202289332,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:21","startHours":10.596010202289332,"endHours":12.349148554276034,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"14:06","startHours":12.349148554276034,"endHours":14.10228690626274,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:51","startHours":14.10228690626274,"endHours":15.855425258249443,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:37","startHours":15.855425258249443,"endHours":17.608563610236146,"quality":"neutral"},{"name":"Labha","start":"17:37","end":"19:22","startHours":17.608563610236146,"endHours":19.361701962222853,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:22","end":"20:37","startHours":19.361701962222853,"endHours":20.60856361023615,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"21:51","startHours":20.60856361023615,"endHours":21.855425258249443,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:06","startHours":21.855425258249443,"endHours":23.10228690626274,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:21","startHours":23.10228690626274,"endHours":24.349148554276034,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:36","startHours":24.349148554276034,"endHours":25.59601020228933,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:51","startHours":25.59601020228933,"endHours":26.84287185030263,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:05","startHours":26.84287185030263,"endHours":28.089733498315923,"quality":"inauspicious"},{"name":"Udveg","start":"04:05","end":"05:20","startHours":28.089733498315923,"endHours":29.33659514632922,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.336595146329219,"endHours":6.336595146329219,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.336595146329219,"endHours":7.336595146329219,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.336595146329219,"endHours":8.33659514632922,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.33659514632922,"endHours":9.33659514632922,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.33659514632922,"endHours":10.33659514632922,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.33659514632922,"endHours":11.33659514632922,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.33659514632922,"endHours":12.33659514632922,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.33659514632922,"endHours":13.33659514632922,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.33659514632922,"endHours":14.33659514632922,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.33659514632922,"endHours":15.33659514632922,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.33659514632922,"endHours":16.33659514632922,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.33659514632922,"endHours":17.33659514632922,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.33659514632922,"endHours":18.33659514632922,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.33659514632922,"endHours":19.33659514632922,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.33659514632922,"endHours":20.33659514632922,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.33659514632922,"endHours":21.33659514632922,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.33659514632922,"endHours":22.33659514632922,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.33659514632922,"endHours":23.33659514632922,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.33659514632922,"endHours":24.33659514632922,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.33659514632922,"endHours":25.33659514632922,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.33659514632922,"endHours":26.33659514632922,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.33659514632922,"endHours":27.33659514632922,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.33659514632922,"endHours":28.33659514632922,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.33659514632922,"endHours":29.33659514632922,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","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":22.81824974022211,"eotMinutes":-4.019313256562166,"ayanamsa":25.0475}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvādaśī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 4, 2085 CE · Ṛṣikeśa · Vidhyamitra","description":"July 4, 2085 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 05:20, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2085-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2085-07-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2085-07-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2085-07-04","x-default":"https://vidhyamitra.com/city/rishikesh/2085-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T10:49:35.003Z","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":"2026-05-19T10:49:35.003Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T10:49:35.003Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}