{"id":"vidhyamitra:city-day:ranchi:2106-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2106-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2106-07-28","date_display":"July 28, 2106 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":2106,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490468.770833,"kali_year":5208,"ahargana":1902003.2708,"sun":{"sidereal_longitude":98.6003,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":63.6519,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0516,"elapsed_within_tithi_degrees":1.0516},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.6519,"elapsed_within_degrees":10.3186},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2522},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2106,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490468.770833,"ahargana":1902003.2708,"kali_year":5208,"ayanamsa_lahiri":25.3417,"grahas":{"sun":{"sidereal_longitude":99.35733600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":62.08693599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-2.9469},"mars":{"sidereal_longitude":161.758736,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":82.88583599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":16.757736000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":143.347236,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":244.357936,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":202.7136,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.7136,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2106,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490468.770833,"kali_year":5208,"ahargana":1902003.2708,"sun":{"sidereal_longitude":98.6003,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":63.6519,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.0516,"elapsed_within_tithi_degrees":1.0516},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":63.6519,"elapsed_within_degrees":10.3186},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2522},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.947,"elongation":34.948},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.947,"opposition_distance":145.052}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:17","sunsetLocal":"18:33","solarNoonLocal":"11:55","dayLengthHours":13.274747105083955,"dayLengthDisplay":"13 Hours 16 Mins 29 Secs","nightLengthDisplay":"10 Hours 43 Mins 31 Secs","moonriseLocal":"02:40","moonsetLocal":"16:12","rahuKala":{"name":"Rāhu Kāla","start":"11:55","end":"13:34","startHours":11.915532544606688,"endHours":13.57487593274218,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:56","end":"08:36","startHours":6.937502380200203,"endHours":8.596845768335697,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:15","end":"11:55","startHours":10.256189156471192,"endHours":11.915532544606688,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:23","end":"08:49","startHours":8.375599983250964,"endHours":8.81809155342043,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:11","startHours":5.83127345477654,"endHours":6.185266710912113,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.47304097443722,"endHours":12.358024114776152,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:24","startHours":3.5081927113868483,"endHours":4.393175851725779,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:17","startHours":4.171930066641046,"endHours":5.278158992064709,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:01","startHours":14.127990395454011,"endHours":15.012973535792941,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:21","end":"18:45","startHours":18.352906097148665,"endHours":18.752906097148664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:33","end":"19:06","startHours":18.552906097148664,"endHours":19.106020559860497,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:18","end":"20:03","startHours":18.302906097148664,"endHours":20.052906097148664,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.473040974437218,"endHours":24.35802411477615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:17","end":"06:56","startHours":5.278158992064709,"endHours":6.937502380200203,"quality":"auspicious"},{"name":"Amṛta","start":"06:56","end":"08:36","startHours":6.937502380200203,"endHours":8.596845768335697,"quality":"auspicious"},{"name":"Kāla","start":"08:36","end":"10:15","startHours":8.596845768335697,"endHours":10.256189156471192,"quality":"inauspicious"},{"name":"Śubha","start":"10:15","end":"11:55","startHours":10.256189156471192,"endHours":11.915532544606688,"quality":"auspicious"},{"name":"Roga","start":"11:55","end":"13:34","startHours":11.915532544606688,"endHours":13.57487593274218,"quality":"inauspicious"},{"name":"Udveg","start":"13:34","end":"15:14","startHours":13.57487593274218,"endHours":15.234219320877676,"quality":"inauspicious"},{"name":"Chala","start":"15:14","end":"16:54","startHours":15.234219320877676,"endHours":16.893562709013167,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:33","startHours":16.893562709013167,"endHours":18.552906097148664,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:33","end":"19:54","startHours":18.552906097148664,"endHours":19.89356270901317,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:14","startHours":19.89356270901317,"endHours":21.234219320877674,"quality":"neutral"},{"name":"Labha","start":"21:14","end":"22:34","startHours":21.234219320877674,"endHours":22.57487593274218,"quality":"auspicious"},{"name":"Amṛta","start":"22:34","end":"23:55","startHours":22.57487593274218,"endHours":23.915532544606688,"quality":"auspicious"},{"name":"Kāla","start":"23:55","end":"01:15","startHours":23.915532544606688,"endHours":25.256189156471194,"quality":"inauspicious"},{"name":"Śubha","start":"01:15","end":"02:36","startHours":25.256189156471194,"endHours":26.596845768335697,"quality":"auspicious"},{"name":"Roga","start":"02:36","end":"03:56","startHours":26.596845768335697,"endHours":27.937502380200204,"quality":"inauspicious"},{"name":"Udveg","start":"03:56","end":"05:17","startHours":27.937502380200204,"endHours":29.27815899206471,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.278158992064709,"endHours":6.278158992064709,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.278158992064709,"endHours":7.278158992064709,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.278158992064709,"endHours":8.278158992064709,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.278158992064709,"endHours":9.278158992064709,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.278158992064709,"endHours":10.278158992064709,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.278158992064709,"endHours":11.278158992064709,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.278158992064709,"endHours":12.278158992064709,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.278158992064709,"endHours":13.278158992064709,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.278158992064709,"endHours":14.278158992064709,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.278158992064709,"endHours":15.278158992064709,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.278158992064709,"endHours":16.27815899206471,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.27815899206471,"endHours":17.27815899206471,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.27815899206471,"endHours":18.27815899206471,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.27815899206471,"endHours":19.27815899206471,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.27815899206471,"endHours":20.27815899206471,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.27815899206471,"endHours":21.27815899206471,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.27815899206471,"endHours":22.27815899206471,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.27815899206471,"endHours":23.27815899206471,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.27815899206471,"endHours":24.27815899206471,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.27815899206471,"endHours":25.27815899206471,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.27815899206471,"endHours":26.27815899206471,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.27815899206471,"endHours":27.27815899206471,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.27815899206471,"endHours":28.27815899206471,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.27815899206471,"endHours":29.27815899206471,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.086617668193647,"eotMinutes":-6.170352676401169,"ayanamsa":25.3417}},"calendars":{"vikram_samvat":2163,"vikram_samvatsara":"Pramāthi","saka_samvat":2028,"saka_samvatsara":"Akṣaya","bengali_samvat":1513,"malayalam_era":1282,"nanakshahi_year":637,"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 Trayodaśī · Vikram 2163 Pramāthi · Śaka 2028 Akṣaya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 28, 2106 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 28, 2106 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 05:17, sūryāsta 18:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2106-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2106-07-28","sa":"https://sa.vidhyamitra.com/city/ranchi/2106-07-28","hi":"https://hi.vidhyamitra.com/city/ranchi/2106-07-28","x-default":"https://vidhyamitra.com/city/ranchi/2106-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:17:54.757Z","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":"2026-06-01T14:17:54.757Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:17:54.757Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}