{"id":"vidhyamitra:city-day:berlin:2033-07-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2033-07-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-07-28","date_display":"July 28, 2033 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":2033,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463806.770833,"kali_year":5135,"ahargana":1875341.2708,"sun":{"sidereal_longitude":100.3938,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":122.5341,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.1403,"elapsed_within_tithi_degrees":10.1403},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.5341,"elapsed_within_degrees":2.5341},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.9279},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2033,"month":7,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463806.770833,"ahargana":1875341.2708,"kali_year":5135,"ayanamsa_lahiri":24.322,"grahas":{"sun":{"sidereal_longitude":100.986021,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":120.69462099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-3.5859},"mars":{"sidereal_longitude":245.15452100000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":80.778321,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":310.94152099999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":62.09412099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":79.47202099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":175.3947,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":355.3947,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2033,"month":7,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463806.770833,"kali_year":5135,"ahargana":1875341.2708,"sun":{"sidereal_longitude":100.3938,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":122.5341,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.1403,"elapsed_within_tithi_degrees":10.1403},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.5341,"elapsed_within_degrees":2.5341},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.9279},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.586,"elongation":22.14},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.586,"opposition_distance":157.86}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:20","sunsetLocal":"20:05","solarNoonLocal":"12:13","dayLengthHours":15.762031109136192,"dayLengthDisplay":"15 Hours 45 Mins 43 Secs","nightLengthDisplay":"8 Hours 14 Mins 17 Secs","moonriseLocal":"06:16","moonsetLocal":"20:47","rahuKala":{"name":"Rāhu Kāla","start":"14:11","end":"16:09","startHours":14.17942643324871,"endHours":16.149680321890735,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:20","end":"06:18","startHours":4.32815699003859,"endHours":6.298410878680613,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:16","end":"10:14","startHours":8.268664767322637,"endHours":10.238918655964662,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:00","end":"08:32","startHours":8.005964248837035,"endHours":8.531365285808242,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:59","end":"05:24","startHours":4.9849082862525975,"endHours":5.405229115829563,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.683771507635479,"endHours":12.734573581577893,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:14","end":"03:17","startHours":2.226552842153764,"endHours":3.2773549160961766,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:01","end":"04:20","startHours":3.0146543976105735,"endHours":4.32815699003859,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:50","end":"15:53","startHours":14.836177729462719,"endHours":15.886979803405131,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:53","end":"20:17","startHours":19.890188099174782,"endHours":20.29018809917478,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:05","end":"20:45","startHours":20.09018809917478,"endHours":20.74693939538879,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:50","end":"21:35","startHours":19.84018809917478,"endHours":21.59018809917478,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.68377150763548,"endHours":24.734573581577894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:20","end":"06:18","startHours":4.32815699003859,"endHours":6.298410878680613,"quality":"auspicious"},{"name":"Roga","start":"06:18","end":"08:16","startHours":6.298410878680613,"endHours":8.268664767322637,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"10:14","startHours":8.268664767322637,"endHours":10.238918655964662,"quality":"inauspicious"},{"name":"Chala","start":"10:14","end":"12:13","startHours":10.238918655964662,"endHours":12.209172544606686,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"14:11","startHours":12.209172544606686,"endHours":14.17942643324871,"quality":"auspicious"},{"name":"Amṛta","start":"14:11","end":"16:09","startHours":14.17942643324871,"endHours":16.149680321890735,"quality":"auspicious"},{"name":"Kāla","start":"16:09","end":"18:07","startHours":16.149680321890735,"endHours":18.119934210532758,"quality":"inauspicious"},{"name":"Śubha","start":"18:07","end":"20:05","startHours":18.119934210532758,"endHours":20.09018809917478,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:05","end":"21:07","startHours":20.09018809917478,"endHours":21.119934210532758,"quality":"auspicious"},{"name":"Kāla","start":"21:07","end":"22:09","startHours":21.119934210532758,"endHours":22.149680321890735,"quality":"inauspicious"},{"name":"Śubha","start":"22:09","end":"23:11","startHours":22.149680321890735,"endHours":23.17942643324871,"quality":"auspicious"},{"name":"Roga","start":"23:11","end":"00:13","startHours":23.17942643324871,"endHours":24.209172544606687,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:14","startHours":24.209172544606687,"endHours":25.23891865596466,"quality":"inauspicious"},{"name":"Chala","start":"01:14","end":"02:16","startHours":25.23891865596466,"endHours":26.268664767322637,"quality":"neutral"},{"name":"Labha","start":"02:16","end":"03:18","startHours":26.268664767322637,"endHours":27.298410878680613,"quality":"auspicious"},{"name":"Amṛta","start":"03:18","end":"04:20","startHours":27.298410878680613,"endHours":28.32815699003859,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:20","end":"05:20","startHours":4.32815699003859,"endHours":5.32815699003859,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:20","end":"06:20","startHours":5.32815699003859,"endHours":6.32815699003859,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:20","end":"07:20","startHours":6.32815699003859,"endHours":7.32815699003859,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:20","end":"08:20","startHours":7.32815699003859,"endHours":8.32815699003859,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:20","end":"09:20","startHours":8.32815699003859,"endHours":9.32815699003859,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:20","end":"10:20","startHours":9.32815699003859,"endHours":10.32815699003859,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:20","end":"11:20","startHours":10.32815699003859,"endHours":11.32815699003859,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:20","end":"12:20","startHours":11.32815699003859,"endHours":12.32815699003859,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:20","end":"13:20","startHours":12.32815699003859,"endHours":13.32815699003859,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:20","end":"14:20","startHours":13.32815699003859,"endHours":14.32815699003859,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:20","end":"15:20","startHours":14.32815699003859,"endHours":15.32815699003859,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:20","end":"16:20","startHours":15.32815699003859,"endHours":16.32815699003859,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:20","end":"17:20","startHours":16.32815699003859,"endHours":17.32815699003859,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:20","end":"18:20","startHours":17.32815699003859,"endHours":18.32815699003859,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:20","end":"19:20","startHours":18.32815699003859,"endHours":19.32815699003859,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:20","end":"20:20","startHours":19.32815699003859,"endHours":20.32815699003859,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:20","end":"21:20","startHours":20.32815699003859,"endHours":21.32815699003859,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:20","end":"22:20","startHours":21.32815699003859,"endHours":22.32815699003859,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:20","end":"23:20","startHours":22.32815699003859,"endHours":23.32815699003859,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:20","end":"00:20","startHours":23.32815699003859,"endHours":24.32815699003859,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:20","end":"01:20","startHours":24.32815699003859,"endHours":25.32815699003859,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:20","end":"02:20","startHours":25.32815699003859,"endHours":26.32815699003859,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:20","end":"03:20","startHours":26.32815699003859,"endHours":27.32815699003859,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:20","end":"04:20","startHours":27.32815699003859,"endHours":28.32815699003859,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.939660950318235,"eotMinutes":-6.170352676401169,"ayanamsa":24.322}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"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, 2033 CE · Berlin, Germany · Vidhyamitra","description":"July 28, 2033 CE for Berlin, Germany: Śukla Dvitīyā, sūryodaya 04:20, sūryāsta 20:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2033-07-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2033-07-28","sa":"https://sa.vidhyamitra.com/city/berlin/2033-07-28","hi":"https://hi.vidhyamitra.com/city/berlin/2033-07-28","x-default":"https://vidhyamitra.com/city/berlin/2033-07-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T03:31:18.347Z","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":"2026-05-15T03:31:18.347Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T03:31:18.347Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}