{"id":"vidhyamitra:city-day:rishikesh:2052-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2052-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-07-21","date_display":"July 21, 2052 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":2052,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470739.770833,"kali_year":5154,"ahargana":1882274.2708,"sun":{"sidereal_longitude":93.8317,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":27.7675,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.9358,"elapsed_within_tithi_degrees":5.9358},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.7675,"elapsed_within_degrees":1.1009},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.5993},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2052,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470739.770833,"ahargana":1882274.2708,"kali_year":5154,"ayanamsa_lahiri":24.5871,"grahas":{"sun":{"sidereal_longitude":94.42562900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":25.998028999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.8737},"mars":{"sidereal_longitude":355.692929,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":89.616829,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":155.64202899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":48.76532900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":306.03082900000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":168.051,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.051,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2052,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470739.770833,"kali_year":5154,"ahargana":1882274.2708,"sun":{"sidereal_longitude":93.8317,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":27.7675,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.9358,"elapsed_within_tithi_degrees":5.9358},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.7675,"elapsed_within_degrees":1.1009},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.5993},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.874,"elongation":66.064},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.874,"opposition_distance":113.936}},"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":"05:29","sunsetLocal":"19:17","solarNoonLocal":"12:23","dayLengthHours":13.795405584888805,"dayLengthDisplay":"13 Hours 47 Mins 43 Secs","nightLengthDisplay":"10 Hours 12 Mins 17 Secs","moonriseLocal":"01:03","moonsetLocal":"14:35","rahuKala":{"name":"Rāhu Kāla","start":"17:33","end":"19:17","startHours":17.556267151588035,"endHours":19.280692849699136,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:06","startHours":12.382990057254734,"endHours":14.107415755365835,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:50","end":"17:33","startHours":15.831841453476935,"endHours":17.556267151588035,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.70421523461772,"endHours":9.164062087447347,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:26","startHours":6.060095830847365,"endHours":6.427973313111067,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:51","startHours":11.923143204425108,"endHours":12.84283691008436,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.645899853491824,"endHours":4.565593559151078,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:29","startHours":4.335670132736264,"endHours":5.4852872648103315,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.682224321402868,"endHours":15.601918027062123,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.080692849699137,"endHours":19.480692849699135,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.280692849699136,"endHours":19.85550141573617,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.030692849699136,"endHours":20.780692849699136,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:51","startHours":23.923143204425106,"endHours":24.842836910084362,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:29","end":"07:13","startHours":5.4852872648103315,"endHours":7.209712962921432,"quality":"inauspicious"},{"name":"Chala","start":"07:13","end":"08:56","startHours":7.209712962921432,"endHours":8.934138661032533,"quality":"neutral"},{"name":"Labha","start":"08:56","end":"10:40","startHours":8.934138661032533,"endHours":10.658564359143632,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:23","startHours":10.658564359143632,"endHours":12.382990057254734,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:06","startHours":12.382990057254734,"endHours":14.107415755365835,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:50","startHours":14.107415755365835,"endHours":15.831841453476935,"quality":"auspicious"},{"name":"Roga","start":"15:50","end":"17:33","startHours":15.831841453476935,"endHours":17.556267151588035,"quality":"inauspicious"},{"name":"Udveg","start":"17:33","end":"19:17","startHours":17.556267151588035,"endHours":19.280692849699136,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:17","end":"20:33","startHours":19.280692849699136,"endHours":20.556267151588035,"quality":"auspicious"},{"name":"Roga","start":"20:33","end":"21:50","startHours":20.556267151588035,"endHours":21.831841453476933,"quality":"inauspicious"},{"name":"Udveg","start":"21:50","end":"23:06","startHours":21.831841453476933,"endHours":23.107415755365835,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:23","startHours":23.107415755365835,"endHours":24.382990057254734,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:40","startHours":24.382990057254734,"endHours":25.658564359143632,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"02:56","startHours":25.658564359143632,"endHours":26.934138661032534,"quality":"auspicious"},{"name":"Kāla","start":"02:56","end":"04:13","startHours":26.934138661032534,"endHours":28.209712962921433,"quality":"inauspicious"},{"name":"Śubha","start":"04:13","end":"05:29","startHours":28.209712962921433,"endHours":29.48528726481033,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.4852872648103315,"endHours":6.4852872648103315,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.4852872648103315,"endHours":7.4852872648103315,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.4852872648103315,"endHours":8.485287264810331,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.485287264810331,"endHours":9.485287264810331,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.485287264810331,"endHours":10.485287264810331,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.485287264810331,"endHours":11.485287264810331,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.485287264810331,"endHours":12.485287264810331,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.485287264810331,"endHours":13.485287264810331,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.485287264810331,"endHours":14.485287264810331,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.485287264810331,"endHours":15.485287264810331,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.485287264810331,"endHours":16.48528726481033,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.48528726481033,"endHours":17.48528726481033,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.48528726481033,"endHours":18.48528726481033,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.48528726481033,"endHours":19.48528726481033,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.48528726481033,"endHours":20.48528726481033,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.48528726481033,"endHours":21.48528726481033,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.48528726481033,"endHours":22.48528726481033,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.48528726481033,"endHours":23.48528726481033,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.48528726481033,"endHours":24.48528726481033,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.48528726481033,"endHours":25.48528726481033,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.48528726481033,"endHours":26.48528726481033,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.48528726481033,"endHours":27.48528726481033,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.48528726481033,"endHours":28.48528726481033,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.48528726481033,"endHours":29.48528726481033,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.354144516565682,"eotMinutes":-6.049803435283957,"ayanamsa":24.5871}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"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":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Daśamī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[],"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":[]},"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 21, 2052 CE · Ṛṣikeśa · Vidhyamitra","description":"July 21, 2052 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 05:29, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2052-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2052-07-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2052-07-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2052-07-21","x-default":"https://vidhyamitra.com/city/rishikesh/2052-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-09T20:06:58.648Z","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":"2026-08-09T20:06:58.648Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-09T20:06:58.648Z","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"}}}