{"id":"vidhyamitra:city-day:berlin:2115-07-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-07-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-07-17","date_display":"July 17, 2115 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":2115,"month":7,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493744.770833,"kali_year":5217,"ahargana":1905279.2708,"sun":{"sidereal_longitude":87.8605,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":26.5656,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.7051,"elapsed_within_tithi_degrees":10.7051},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.5656,"elapsed_within_degrees":13.2323},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.4261},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"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":2115,"month":7,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493744.770833,"ahargana":1905279.2708,"kali_year":5217,"ayanamsa_lahiri":25.467,"grahas":{"sun":{"sidereal_longitude":88.56536900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":24.168669000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-0.2016},"mars":{"sidereal_longitude":110.80866900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":101.62546900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":270.575869,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":86.31586900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":357.968369,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":29.1354,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":209.1354,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":7,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493744.770833,"kali_year":5217,"ahargana":1905279.2708,"sun":{"sidereal_longitude":87.8605,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":26.5656,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.7051,"elapsed_within_tithi_degrees":10.7051},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.5656,"elapsed_within_degrees":13.2323},"yoga":{"number":9,"name":"Śūla","sum_longitude":114.4261},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.202,"elongation":61.295},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.202,"opposition_distance":118.705}},"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":"04:03","sunsetLocal":"20:21","solarNoonLocal":"12:12","dayLengthHours":16.30460512373006,"dayLengthDisplay":"16 Hours 18 Mins 17 Secs","nightLengthDisplay":"7 Hours 41 Mins 43 Secs","moonriseLocal":"00:12","moonsetLocal":"15:37","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"14:14","startHours":12.202559714988313,"endHours":14.24063535545457,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:05","end":"08:08","startHours":6.08833279358954,"endHours":8.126408434055797,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:10","end":"12:12","startHours":10.164484074522056,"endHours":12.202559714988313,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:51","end":"08:24","startHours":7.8546650153269635,"endHours":8.398151852784633,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:44","end":"05:10","startHours":4.729615699945369,"endHours":5.164405169911504,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:45","startHours":11.659072877530644,"endHours":12.746046552445982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:53","end":"02:58","startHours":1.8763098032926084,"endHours":2.963283478207946,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:41","end":"04:03","startHours":2.6915400594791112,"endHours":4.050257153123283,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:55","end":"16:00","startHours":14.919993902276657,"endHours":16.006967577191993,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:09","end":"20:33","startHours":20.154862276853343,"endHours":20.554862276853342,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:21","end":"21:02","startHours":20.354862276853343,"endHours":21.03422082367543,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:06","end":"21:51","startHours":20.104862276853343,"endHours":21.854862276853343,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:45","startHours":23.659072877530644,"endHours":24.74604655244598,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:03","end":"06:05","startHours":4.050257153123283,"endHours":6.08833279358954,"quality":"auspicious"},{"name":"Amṛta","start":"06:05","end":"08:08","startHours":6.08833279358954,"endHours":8.126408434055797,"quality":"auspicious"},{"name":"Kāla","start":"08:08","end":"10:10","startHours":8.126408434055797,"endHours":10.164484074522056,"quality":"inauspicious"},{"name":"Śubha","start":"10:10","end":"12:12","startHours":10.164484074522056,"endHours":12.202559714988313,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"14:14","startHours":12.202559714988313,"endHours":14.24063535545457,"quality":"inauspicious"},{"name":"Udveg","start":"14:14","end":"16:17","startHours":14.24063535545457,"endHours":16.27871099592083,"quality":"inauspicious"},{"name":"Chala","start":"16:17","end":"18:19","startHours":16.27871099592083,"endHours":18.316786636387086,"quality":"neutral"},{"name":"Labha","start":"18:19","end":"20:21","startHours":18.316786636387086,"endHours":20.354862276853343,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:21","end":"21:19","startHours":20.354862276853343,"endHours":21.316786636387086,"quality":"inauspicious"},{"name":"Chala","start":"21:19","end":"22:17","startHours":21.316786636387086,"endHours":22.27871099592083,"quality":"neutral"},{"name":"Labha","start":"22:17","end":"23:14","startHours":22.27871099592083,"endHours":23.24063535545457,"quality":"auspicious"},{"name":"Amṛta","start":"23:14","end":"00:12","startHours":23.24063535545457,"endHours":24.20255971498831,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:10","startHours":24.20255971498831,"endHours":25.164484074522058,"quality":"inauspicious"},{"name":"Śubha","start":"01:10","end":"02:08","startHours":25.164484074522058,"endHours":26.126408434055797,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:05","startHours":26.126408434055797,"endHours":27.08833279358954,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:03","startHours":27.08833279358954,"endHours":28.050257153123283,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:03","end":"05:03","startHours":4.050257153123283,"endHours":5.050257153123283,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:03","end":"06:03","startHours":5.050257153123283,"endHours":6.050257153123283,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:03","end":"07:03","startHours":6.050257153123283,"endHours":7.050257153123283,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:03","end":"08:03","startHours":7.050257153123283,"endHours":8.050257153123283,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:03","end":"09:03","startHours":8.050257153123283,"endHours":9.050257153123283,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:03","end":"10:03","startHours":9.050257153123283,"endHours":10.050257153123283,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:03","end":"11:03","startHours":10.050257153123283,"endHours":11.050257153123283,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:03","end":"12:03","startHours":11.050257153123283,"endHours":12.050257153123283,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:03","end":"13:03","startHours":12.050257153123283,"endHours":13.050257153123283,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:03","end":"14:03","startHours":13.050257153123283,"endHours":14.050257153123283,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:03","end":"15:03","startHours":14.050257153123283,"endHours":15.050257153123283,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:03","end":"16:03","startHours":15.050257153123283,"endHours":16.050257153123283,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:03","end":"17:03","startHours":16.050257153123283,"endHours":17.050257153123283,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:03","end":"18:03","startHours":17.050257153123283,"endHours":18.050257153123283,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:03","end":"19:03","startHours":18.050257153123283,"endHours":19.050257153123283,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:03","end":"20:03","startHours":19.050257153123283,"endHours":20.050257153123283,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:03","end":"21:03","startHours":20.050257153123283,"endHours":21.050257153123283,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:03","end":"22:03","startHours":21.050257153123283,"endHours":22.050257153123283,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:03","end":"23:03","startHours":22.050257153123283,"endHours":23.050257153123283,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:03","end":"00:03","startHours":23.050257153123283,"endHours":24.050257153123283,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:03","end":"01:03","startHours":24.050257153123283,"endHours":25.050257153123283,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:03","end":"02:03","startHours":25.050257153123283,"endHours":26.050257153123283,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:03","end":"03:03","startHours":26.050257153123283,"endHours":27.050257153123283,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:03","end":"04:03","startHours":27.050257153123283,"endHours":28.050257153123283,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.30024612246133,"eotMinutes":-5.773582899298716,"ayanamsa":25.467}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"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":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Daśamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"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":"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 17, 2115 CE · Berlin, Germany · Vidhyamitra","description":"July 17, 2115 CE for Berlin, Germany: Kṛṣṇa Daśamī, sūryodaya 04:03, sūryāsta 20:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-07-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-07-17","sa":"https://sa.vidhyamitra.com/city/berlin/2115-07-17","hi":"https://hi.vidhyamitra.com/city/berlin/2115-07-17","x-default":"https://vidhyamitra.com/city/berlin/2115-07-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:38:40.294Z","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":"2026-05-31T19:38:40.294Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:38:40.294Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}